[{"status":"public","date_created":"2018-12-11T11:45:19Z","abstract":[{"text":"Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over . We show that X() is non-empty provided that X() is non-empty and X has p-adic points for every prime p.","lang":"eng"}],"publication_status":"published","doi":"10.1515/CRELLE.2009.026","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0701348"}],"type":"journal_article","quality_controlled":0,"author":[{"last_name":"Browning","full_name":"Timothy Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"},{"first_name":"Roger","full_name":"Heath-Brown, Roger","last_name":"Heath Brown"}],"oa":1,"date_published":"2009-04-01T00:00:00Z","date_updated":"2021-01-12T06:56:29Z","year":"2009","issue":"629","citation":{"ama":"Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2009;(629):37-88. doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>","chicago":"Browning, Timothy D, and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter, 2009. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>.","apa":"Browning, T. D., &#38; Heath Brown, R. (2009). Rational points on quartic hypersurfaces. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter. <a href=\"https://doi.org/10.1515/CRELLE.2009.026\">https://doi.org/10.1515/CRELLE.2009.026</a>","mla":"Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, no. 629, Walter de Gruyter, 2009, pp. 37–88, doi:<a href=\"https://doi.org/10.1515/CRELLE.2009.026\">10.1515/CRELLE.2009.026</a>.","short":"T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2009) 37–88.","ista":"Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.","ieee":"T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” <i>Journal fur die Reine und Angewandte Mathematik</i>, no. 629. Walter de Gruyter, pp. 37–88, 2009."},"_id":"228","extern":1,"publisher":"Walter de Gruyter","day":"01","month":"04","publist_id":"7676","title":"Rational points on quartic hypersurfaces","page":"37 - 88","publication":"Journal fur die Reine und Angewandte Mathematik","acknowledgement":"EP/F060661/1\tEngineering and Physical Sciences Research Council"},{"page":"41 - 50","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","publication":"Mathematische Annalen","title":"Linear growth for Châtelet surfaces","month":"06","publist_id":"7675","volume":346,"publisher":"Springer Nature","day":"18","extern":1,"_id":"229","citation":{"mla":"Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” <i>Mathematische Annalen</i>, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:<a href=\"https://doi.org/10.1007/s00208-009-0383-z\">10.1007/s00208-009-0383-z</a>.","ieee":"T. D. Browning, “Linear growth for Châtelet surfaces,” <i>Mathematische Annalen</i>, vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.","ista":"Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.","short":"T.D. Browning, Mathematische Annalen 346 (2009) 41–50.","ama":"Browning TD. Linear growth for Châtelet surfaces. <i>Mathematische Annalen</i>. 2009;346(1):41-50. doi:<a href=\"https://doi.org/10.1007/s00208-009-0383-z\">10.1007/s00208-009-0383-z</a>","chicago":"Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” <i>Mathematische Annalen</i>. Springer Nature, 2009. <a href=\"https://doi.org/10.1007/s00208-009-0383-z\">https://doi.org/10.1007/s00208-009-0383-z</a>.","apa":"Browning, T. D. (2009). Linear growth for Châtelet surfaces. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-009-0383-z\">https://doi.org/10.1007/s00208-009-0383-z</a>"},"year":"2009","issue":"1","date_published":"2009-06-18T00:00:00Z","date_updated":"2021-01-12T06:56:33Z","oa":1,"author":[{"full_name":"Timothy Browning","last_name":"Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"}],"type":"journal_article","quality_controlled":0,"abstract":[{"lang":"eng","text":"An upper bound of the expected order of magnitude is established for the number of ℚ-rational points of bounded height on Châtelet surfaces defined over ℚ."}],"date_created":"2018-12-11T11:45:19Z","publication_status":"published","intvolume":"       346","main_file_link":[{"url":"https://arxiv.org/abs/0901.1963","open_access":"1"}],"doi":"10.1007/s00208-009-0383-z","status":"public"},{"day":"09","publisher":"Oxford University Press","extern":1,"_id":"230","citation":{"apa":"Browning, T. D., &#38; Derenthal, U. (2009). Manin’s conjecture for a cubic surface with  D 5 singularity. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/imrn/rnp029\">https://doi.org/10.1093/imrn/rnp029</a>","chicago":"Browning, Timothy D, and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2009. <a href=\"https://doi.org/10.1093/imrn/rnp029\">https://doi.org/10.1093/imrn/rnp029</a>.","ama":"Browning TD, Derenthal U. Manin’s conjecture for a cubic surface with  D 5 singularity. <i>International Mathematics Research Notices</i>. 2009;2009(14):2620-2647. doi:<a href=\"https://doi.org/10.1093/imrn/rnp029\">10.1093/imrn/rnp029</a>","short":"T.D. Browning, U. Derenthal, International Mathematics Research Notices 2009 (2009) 2620–2647.","ista":"Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.","ieee":"T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with  D 5 singularity,” <i>International Mathematics Research Notices</i>, vol. 2009, no. 14. Oxford University Press, pp. 2620–2647, 2009.","mla":"Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic Surface with  D 5 Singularity.” <i>International Mathematics Research Notices</i>, vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:<a href=\"https://doi.org/10.1093/imrn/rnp029\">10.1093/imrn/rnp029</a>."},"page":"2620 - 2647","publication":"International Mathematics Research Notices","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","title":"Manin's conjecture for a cubic surface with  D 5 singularity","volume":2009,"publist_id":"7674","month":"03","quality_controlled":0,"type":"journal_article","doi":"10.1093/imrn/rnp029","publication_status":"published","date_created":"2018-12-11T11:45:20Z","intvolume":"      2009","abstract":[{"text":"The Manin conjecture is established for a split singular cubic surface in ℙ 3, with singularity type D 5.","lang":"eng"}],"status":"public","issue":"14","year":"2009","date_updated":"2021-01-12T06:56:38Z","date_published":"2009-03-09T00:00:00Z","author":[{"last_name":"Browning","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"full_name":"Derenthal, Ulrich","last_name":"Derenthal","first_name":"Ulrich"}]},{"_id":"2326","extern":"1","day":"01","publisher":"Cambridge University Press","citation":{"ama":"Lieb É, Seiringer R. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press; 2009.","chicago":"Lieb, Élliott, and Robert Seiringer. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009.","apa":"Lieb, É., &#38; Seiringer, R. (2009). <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press.","mla":"Lieb, Élliott, and Robert Seiringer. <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009.","ieee":"É. Lieb and R. Seiringer, <i>The Stability of Matter in Quantum Mechanics</i>. Cambridge University Press, 2009.","short":"É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.","ista":"Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press, 310p."},"language":[{"iso":"eng"}],"page":"310","publication_identifier":{"isbn":["978-0-521-19118-0 "]},"publist_id":"4601","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","month":"01","title":"The Stability of Matter in Quantum Mechanics","main_file_link":[{"url":"http://www.cambridge.org/9780521191180"}],"abstract":[{"lang":"eng","text":"Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics."}],"date_created":"2018-12-11T11:57:00Z","publication_status":"published","oa_version":"None","type":"book","quality_controlled":"1","status":"public","date_updated":"2021-12-21T15:45:31Z","date_published":"2009-01-01T00:00:00Z","year":"2009","author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott"},{"last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"article_processing_charge":"No"},{"author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","last_name":"Seiringer"}],"alternative_title":["Contemporary Mathematics"],"year":"2009","date_updated":"2021-01-12T06:56:50Z","date_published":"2009-01-01T00:00:00Z","status":"public","type":"conference","quality_controlled":0,"doi":"10.1090/conm/500/09823","publication_status":"published","date_created":"2018-12-11T11:57:02Z","intvolume":"       500","title":"A linear criterion for solutions of non-linear equations, with application to the BCS gap equation","conference":{"name":"Spectral and Scattering Theory for Quantum Magnetic Systems"},"volume":500,"publist_id":"4596","month":"01","page":"101 - 104","citation":{"ama":"Hainzl C, Seiringer R. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. In: Vol 500. American Mathematical Society; 2009:101-104. doi:<a href=\"https://doi.org/10.1090/conm/500/09823\">10.1090/conm/500/09823</a>","chicago":"Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation,” 500:101–4. American Mathematical Society, 2009. <a href=\"https://doi.org/10.1090/conm/500/09823\">https://doi.org/10.1090/conm/500/09823</a>.","apa":"Hainzl, C., &#38; Seiringer, R. (2009). A linear criterion for solutions of non-linear equations, with application to the BCS gap equation (Vol. 500, pp. 101–104). Presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, American Mathematical Society. <a href=\"https://doi.org/10.1090/conm/500/09823\">https://doi.org/10.1090/conm/500/09823</a>","mla":"Hainzl, Christian, and Robert Seiringer. <i>A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation</i>. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:<a href=\"https://doi.org/10.1090/conm/500/09823\">10.1090/conm/500/09823</a>.","short":"C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.","ieee":"C. Hainzl and R. Seiringer, “A linear criterion for solutions of non-linear equations, with application to the BCS gap equation,” presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, 2009, vol. 500, pp. 101–104.","ista":"Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104."},"day":"01","publisher":"American Mathematical Society","_id":"2330","extern":1},{"issue":"5-6","year":"2009","date_updated":"2021-01-12T06:57:09Z","date_published":"2009-06-01T00:00:00Z","oa":1,"author":[{"last_name":"Giuliani","full_name":"Giuliani, Alessandro","first_name":"Alessandro"},{"last_name":"Seiringer","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"quality_controlled":0,"type":"journal_article","doi":"10.1007/s10955-009-9718-0","main_file_link":[{"url":"http://arxiv.org/abs/0811.1166","open_access":"1"}],"intvolume":"       135","date_created":"2018-12-11T11:57:21Z","abstract":[{"lang":"eng","text":"We prove the Lee-Huang-Yang formula for the ground state energy of the 3D Bose gas with repulsive interactions described by the exponential function, in a simultaneous limit of weak coupling and high density. In particular, we show that the Bogoliubov approximation is exact in an appropriate parameter regime, as far as the ground state energy is concerned."}],"publication_status":"published","status":"public","page":"915 - 934","publication":"Journal of Statistical Physics","title":"The ground state energy of the weakly interacting Bose gas at high density","publist_id":"4542","volume":135,"month":"06","day":"01","publisher":"Springer","extern":1,"_id":"2384","citation":{"ista":"Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.","ieee":"A. Giuliani and R. Seiringer, “The ground state energy of the weakly interacting Bose gas at high density,” <i>Journal of Statistical Physics</i>, vol. 135, no. 5–6. Springer, pp. 915–934, 2009.","short":"A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.","mla":"Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” <i>Journal of Statistical Physics</i>, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:<a href=\"https://doi.org/10.1007/s10955-009-9718-0\">10.1007/s10955-009-9718-0</a>.","ama":"Giuliani A, Seiringer R. The ground state energy of the weakly interacting Bose gas at high density. <i>Journal of Statistical Physics</i>. 2009;135(5-6):915-934. doi:<a href=\"https://doi.org/10.1007/s10955-009-9718-0\">10.1007/s10955-009-9718-0</a>","apa":"Giuliani, A., &#38; Seiringer, R. (2009). The ground state energy of the weakly interacting Bose gas at high density. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-009-9718-0\">https://doi.org/10.1007/s10955-009-9718-0</a>","chicago":"Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” <i>Journal of Statistical Physics</i>. Springer, 2009. <a href=\"https://doi.org/10.1007/s10955-009-9718-0\">https://doi.org/10.1007/s10955-009-9718-0</a>."}},{"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","title":"Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime","month":"06","publist_id":"4541","volume":79,"publisher":"American Physical Society","day":"24","_id":"2385","extern":1,"citation":{"chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">https://doi.org/10.1103/PhysRevA.79.063626</a>.","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2009). Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">https://doi.org/10.1103/PhysRevA.79.063626</a>","ama":"Lieb É, Seiringer R, Yngvason J. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2009;79(6). doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">10.1103/PhysRevA.79.063626</a>","mla":"Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 6, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevA.79.063626\">10.1103/PhysRevA.79.063626</a>.","short":"É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 79, no. 6. American Physical Society, 2009.","ista":"Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6)."},"year":"2009","issue":"6","date_published":"2009-06-24T00:00:00Z","date_updated":"2021-01-12T06:57:09Z","oa":1,"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"quality_controlled":0,"type":"journal_article","abstract":[{"lang":"eng","text":"We consider an ultracold rotating Bose gas in a harmonic trap close to the critical angular velocity, so that the system can be considered to be confined to the lowest Landau level. With this assumption we prove that the Gross-Pitaevskii energy functional accurately describes the ground-state energy of the corresponding N -body Hamiltonian with contact interaction provided the total angular momentum L is much less than N2. While the Gross-Pitaevskii energy is always an obvious variational upper bound to the ground-state energy, a more refined analysis is needed to establish it as an exact lower bound. We also discuss the question of Bose-Einstein condensation in the parameter range considered. Coherent states together with inequalities in spaces of analytic functions are the main technical tools."}],"publication_status":"published","intvolume":"        79","date_created":"2018-12-11T11:57:22Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0904.1750"}],"doi":"10.1103/PhysRevA.79.063626","status":"public"},{"title":"Rigorous upper bound on the critical temperature of dilute Bose gases","volume":80,"publist_id":"4540","month":"06","publication":"Physical Review B - Condensed Matter and Materials Physics","citation":{"mla":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1, American Physical Society, 2009, doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>.","short":"R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).","ista":"Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).","ieee":"R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 80, no. 1. American Physical Society, 2009.","chicago":"Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2009. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>.","apa":"Seiringer, R., &#38; Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">https://doi.org/10.1103/PhysRevB.80.014502</a>","ama":"Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of dilute Bose gases. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2009;80(1). doi:<a href=\"https://doi.org/10.1103/PhysRevB.80.014502\">10.1103/PhysRevB.80.014502</a>"},"day":"02","publisher":"American Physical Society","extern":1,"_id":"2386","oa":1,"author":[{"full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"},{"first_name":"Daniel","last_name":"Ueltschi","full_name":"Ueltschi, Daniel"}],"issue":"1","year":"2009","date_updated":"2021-01-12T06:57:10Z","date_published":"2009-06-02T00:00:00Z","status":"public","type":"journal_article","quality_controlled":0,"main_file_link":[{"url":"http://arxiv.org/abs/0904.0050","open_access":"1"}],"doi":"10.1103/PhysRevB.80.014502","abstract":[{"lang":"eng","text":"We prove exponential decay of the off-diagonal correlation function in the two-dimensional homogeneous Bose gas when a2 ρ is small and the temperature T satisfies T&gt; 4πρ ln | ln (a2 ρ) |. Here, a is the scattering length of the repulsive interaction potential and ρ is the density. To the leading order in a2 ρ, this bound agrees with the expected critical temperature for superfluidity. In the three-dimensional Bose gas, exponential decay is proved when T- Tc (0) Tc (0) &gt;5 a ρ1/3, where Tc (0) is the critical temperature of the ideal gas. While this condition is not expected to be sharp, it gives a rigorous upper bound on the critical temperature for Bose-Einstein condensation."}],"publication_status":"published","intvolume":"        80","date_created":"2018-12-11T11:57:22Z"},{"volume":137,"publist_id":"4538","month":"01","title":"Strongly correlated phases in rapidly rotating Bose gases","publication":"Journal of Statistical Physics","page":"1040 - 1062","citation":{"ama":"Lewin M, Seiringer R. Strongly correlated phases in rapidly rotating Bose gases. <i>Journal of Statistical Physics</i>. 2009;137(5):1040-1062. doi:<a href=\"https://doi.org/10.1007/s10955-009-9833-y\">10.1007/s10955-009-9833-y</a>","apa":"Lewin, M., &#38; Seiringer, R. (2009). Strongly correlated phases in rapidly rotating Bose gases. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-009-9833-y\">https://doi.org/10.1007/s10955-009-9833-y</a>","chicago":"Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” <i>Journal of Statistical Physics</i>. Springer, 2009. <a href=\"https://doi.org/10.1007/s10955-009-9833-y\">https://doi.org/10.1007/s10955-009-9833-y</a>.","ieee":"M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating Bose gases,” <i>Journal of Statistical Physics</i>, vol. 137, no. 5. Springer, pp. 1040–1062, 2009.","ista":"Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.","short":"M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.","mla":"Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” <i>Journal of Statistical Physics</i>, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:<a href=\"https://doi.org/10.1007/s10955-009-9833-y\">10.1007/s10955-009-9833-y</a>."},"extern":1,"_id":"2387","day":"01","publisher":"Springer","author":[{"first_name":"Mathieu","last_name":"Lewin","full_name":"Lewin, Mathieu"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer"}],"oa":1,"date_updated":"2021-01-12T06:57:10Z","date_published":"2009-01-01T00:00:00Z","issue":"5","year":"2009","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/0906.0741","open_access":"1"}],"doi":"10.1007/s10955-009-9833-y","date_created":"2018-12-11T11:57:22Z","intvolume":"       137","publication_status":"published","abstract":[{"lang":"eng","text":"We consider a system of trapped spinless bosons interacting with a repulsive potential and subject to rotation. In the limit of rapid rotation and small scattering length, we rigorously show that the ground state energy converges to that of a simplified model Hamiltonian with contact interaction projected onto the Lowest Landau Level. This effective Hamiltonian models the bosonic analogue of the Fractional Quantum Hall Effect (FQHE). For a fixed number of particles, we also prove convergence of states; in particular, in a certain regime we show convergence towards the bosonic Laughlin wavefunction. This is the first rigorous justification of the effective FQHE Hamiltonian for rapidly rotating Bose gases. We review previous results on this effective Hamiltonian and outline open problems."}],"quality_controlled":0,"type":"journal_article"},{"citation":{"mla":"Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” <i>IEEE Transactions on Information Theory</i>, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:<a href=\"https://doi.org/10.1109/TIT.2009.2027573\">10.1109/TIT.2009.2027573</a>.","ista":"Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10), 4786–4792.","ieee":"J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, and S. Kulkarni, “Probabilistic coherence and proper scoring rules,” <i>IEEE Transactions on Information Theory</i>, vol. 55, no. 10. IEEE, pp. 4786–4792, 2009.","short":"J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.","ama":"Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. Probabilistic coherence and proper scoring rules. <i>IEEE Transactions on Information Theory</i>. 2009;55(10):4786-4792. doi:<a href=\"https://doi.org/10.1109/TIT.2009.2027573\">10.1109/TIT.2009.2027573</a>","chicago":"Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” <i>IEEE Transactions on Information Theory</i>. IEEE, 2009. <a href=\"https://doi.org/10.1109/TIT.2009.2027573\">https://doi.org/10.1109/TIT.2009.2027573</a>.","apa":"Predd, J., Seiringer, R., Lieb, É., Osherson, D., Poor, H., &#38; Kulkarni, S. (2009). Probabilistic coherence and proper scoring rules. <i>IEEE Transactions on Information Theory</i>. IEEE. <a href=\"https://doi.org/10.1109/TIT.2009.2027573\">https://doi.org/10.1109/TIT.2009.2027573</a>"},"publisher":"IEEE","day":"01","extern":1,"_id":"2388","title":"Probabilistic coherence and proper scoring rules","month":"10","volume":55,"publist_id":"4539","publication":"IEEE Transactions on Information Theory","page":"4786 - 4792","status":"public","type":"journal_article","quality_controlled":0,"date_created":"2018-12-11T11:57:23Z","intvolume":"        55","abstract":[{"lang":"eng","text":"This paper provides self-contained proof of a theorem relating probabilistic coherence of forecasts to their non-domination by rival forecasts with respect to any proper scoring rule. The theorem recapitulates insights achieved by other investigators, and clarifies the connection of coherence and proper scoring rules to Bregman divergence."}],"publication_status":"published","doi":"10.1109/TIT.2009.2027573","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0710.3183"}],"oa":1,"author":[{"full_name":"Predd, Joel B","last_name":"Predd","first_name":"Joel"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","full_name":"Robert Seiringer"},{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"first_name":"Daniel","full_name":"Osherson, Daniel N","last_name":"Osherson"},{"first_name":"Harold","full_name":"Poor, Harold V","last_name":"Poor"},{"first_name":"Sanjeev","last_name":"Kulkarni","full_name":"Kulkarni, Sanjeev R"}],"year":"2009","issue":"10","date_published":"2009-10-01T00:00:00Z","date_updated":"2021-01-12T06:57:11Z"},{"year":"2009","date_published":"2009-01-01T00:00:00Z","date_updated":"2021-01-12T06:57:27Z","oa":1,"author":[{"first_name":"Jiří","last_name":"Matoušek","full_name":"Matoušek, Jiří"},{"last_name":"Tancer","full_name":"Martin Tancer","first_name":"Martin","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1191-6714"},{"first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","last_name":"Wagner","full_name":"Uli Wagner"}],"type":"conference","quality_controlled":0,"publication_status":"published","abstract":[{"text":"Let EMBEDk→d be the following algorithmic problem: Given a finite simplicial complex K of dimension at most k, does there exist a (piecewise linear) embedding of K into ℝd? Known results easily imply polynomiality of EMBEDk→2 (k = 1, 2; the case k = 1, d = 2 is graph planarity) and of EMBEDk→2k for all k ≥ 3 (even if k is not considered fixed). We show that the celebrated result of Novikov on the algorithmic unsolvability of recognizing the 5-sphere implies that EMBED d→d and EMBED(d-1)→d are undecidable for each d ≥ 5. Our main result is NP-hardness of EMBED2→4 and, more generally, of EMBEDk→d for all k, d with d ≥ 4 and d ≥ k ≥ (2d - 2)/3.","lang":"eng"}],"date_created":"2018-12-11T11:57:38Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/0807.0336"}],"status":"public","page":"855 - 864","title":"Hardness of embedding simplicial complexes in ℝd","month":"01","conference":{"name":"SODA: Symposium on Discrete Algorithms"},"publist_id":"4476","publisher":"SIAM","day":"01","extern":1,"_id":"2433","citation":{"apa":"Matoušek, J., Tancer, M., &#38; Wagner, U. (2009). Hardness of embedding simplicial complexes in ℝd (pp. 855–864). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.","chicago":"Matoušek, Jiří, Martin Tancer, and Uli Wagner. “Hardness of Embedding Simplicial Complexes in ℝd,” 855–64. SIAM, 2009.","ama":"Matoušek J, Tancer M, Wagner U. Hardness of embedding simplicial complexes in ℝd. In: SIAM; 2009:855-864.","short":"J. Matoušek, M. Tancer, U. Wagner, in:, SIAM, 2009, pp. 855–864.","ieee":"J. Matoušek, M. Tancer, and U. Wagner, “Hardness of embedding simplicial complexes in ℝd,” presented at the SODA: Symposium on Discrete Algorithms, 2009, pp. 855–864.","ista":"Matoušek J, Tancer M, Wagner U. 2009. Hardness of embedding simplicial complexes in ℝd. SODA: Symposium on Discrete Algorithms, 855–864.","mla":"Matoušek, Jiří, et al. <i>Hardness of Embedding Simplicial Complexes in ℝd</i>. SIAM, 2009, pp. 855–64."}},{"status":"public","quality_controlled":0,"type":"journal_article","date_created":"2018-12-11T11:57:38Z","publication_status":"published","abstract":[{"lang":"eng","text":"For a planar point set we consider the graph whose vertices are the crossing-free straight-line spanning trees of the point set, and two such spanning trees are adjacent if their union is crossing-free. An upper bound on the diameter of this graph implies an upper bound on the diameter of the flip graph of pseudo-triangulations of the underlying point set. We prove a lower bound of Ω(logn/loglogn) for the diameter of the transformation graph of spanning trees on a set of n points in the plane. This nearly matches the known upper bound of O(logn). If we measure the diameter in terms of the number of convex layers k of the point set, our lower bound construction is tight, i.e., the diameter is in Ω(logk) which matches the known upper bound of O(logk). So far only constant lower bounds were known."}],"intvolume":"        42","doi":"10.1016/j.comgeo.2008.03.005","author":[{"first_name":"Kevin","full_name":"Buchin, Kevin","last_name":"Buchin"},{"last_name":"Razen","full_name":"Razen, Andreas","first_name":"Andreas"},{"full_name":"Uno, Takeaki","last_name":"Uno","first_name":"Takeaki"},{"id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","first_name":"Uli","full_name":"Uli Wagner","last_name":"Wagner"}],"year":"2009","issue":"8","date_published":"2009-10-01T00:00:00Z","date_updated":"2021-01-12T06:57:28Z","citation":{"short":"K. Buchin, A. Razen, T. Uno, U. Wagner, Computational Geometry: Theory and Applications 42 (2009) 724–730.","ieee":"K. Buchin, A. Razen, T. Uno, and U. Wagner, “Transforming spanning trees: A lower bound,” <i>Computational Geometry: Theory and Applications</i>, vol. 42, no. 8. Elsevier, pp. 724–730, 2009.","ista":"Buchin K, Razen A, Uno T, Wagner U. 2009. Transforming spanning trees: A lower bound. Computational Geometry: Theory and Applications. 42(8), 724–730.","mla":"Buchin, Kevin, et al. “Transforming Spanning Trees: A Lower Bound.” <i>Computational Geometry: Theory and Applications</i>, vol. 42, no. 8, Elsevier, 2009, pp. 724–30, doi:<a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">10.1016/j.comgeo.2008.03.005</a>.","apa":"Buchin, K., Razen, A., Uno, T., &#38; Wagner, U. (2009). Transforming spanning trees: A lower bound. <i>Computational Geometry: Theory and Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">https://doi.org/10.1016/j.comgeo.2008.03.005</a>","chicago":"Buchin, Kevin, Andreas Razen, Takeaki Uno, and Uli Wagner. “Transforming Spanning Trees: A Lower Bound.” <i>Computational Geometry: Theory and Applications</i>. Elsevier, 2009. <a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">https://doi.org/10.1016/j.comgeo.2008.03.005</a>.","ama":"Buchin K, Razen A, Uno T, Wagner U. Transforming spanning trees: A lower bound. <i>Computational Geometry: Theory and Applications</i>. 2009;42(8):724-730. doi:<a href=\"https://doi.org/10.1016/j.comgeo.2008.03.005\">10.1016/j.comgeo.2008.03.005</a>"},"publisher":"Elsevier","day":"01","extern":1,"_id":"2434","title":"Transforming spanning trees: A lower bound","month":"10","volume":42,"publist_id":"4475","publication":"Computational Geometry: Theory and Applications","page":"724 - 730"},{"citation":{"ama":"Fernández Alacid L, Aguado C, Ciruela F, et al.  Subcellular compartment-specific molecular diversity of pre- and post-synaptic GABAB-activated GIRK channels in Purkinje cells. <i>Journal of Neurochemistry</i>. 2009;110(4):1363-1376. doi:<a href=\"https://doi.org/10.1111/j.1471-4159.2009.06229.x\">10.1111/j.1471-4159.2009.06229.x</a>","chicago":"Fernández Alacid, Laura, Carolina Aguado, Francisco Ciruela, Ricardo Martín, José Colón, María Cabañero, Martin Gassmann, et al. “ Subcellular Compartment-Specific Molecular Diversity of Pre- and Post-Synaptic GABAB-Activated GIRK Channels in Purkinje Cells.” <i>Journal of Neurochemistry</i>. Wiley-Blackwell, 2009. <a href=\"https://doi.org/10.1111/j.1471-4159.2009.06229.x\">https://doi.org/10.1111/j.1471-4159.2009.06229.x</a>.","apa":"Fernández Alacid, L., Aguado, C., Ciruela, F., Martín, R., Colón, J., Cabañero, M., … Luján, R. (2009).  Subcellular compartment-specific molecular diversity of pre- and post-synaptic GABAB-activated GIRK channels in Purkinje cells. <i>Journal of Neurochemistry</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1111/j.1471-4159.2009.06229.x\">https://doi.org/10.1111/j.1471-4159.2009.06229.x</a>","mla":"Fernández Alacid, Laura, et al. “ Subcellular Compartment-Specific Molecular Diversity of Pre- and Post-Synaptic GABAB-Activated GIRK Channels in Purkinje Cells.” <i>Journal of Neurochemistry</i>, vol. 110, no. 4, Wiley-Blackwell, 2009, pp. 1363–76, doi:<a href=\"https://doi.org/10.1111/j.1471-4159.2009.06229.x\">10.1111/j.1471-4159.2009.06229.x</a>.","short":"L. Fernández Alacid, C. Aguado, F. Ciruela, R. Martín, J. Colón, M. Cabañero, M. Gassmann, M. Watanabe, R. Shigemoto, K. Wickman, B. Bettler, J. Sánchez Prieto, R. Luján, Journal of Neurochemistry 110 (2009) 1363–1376.","ista":"Fernández Alacid L, Aguado C, Ciruela F, Martín R, Colón J, Cabañero M, Gassmann M, Watanabe M, Shigemoto R, Wickman K, Bettler B, Sánchez Prieto J, Luján R. 2009.  Subcellular compartment-specific molecular diversity of pre- and post-synaptic GABAB-activated GIRK channels in Purkinje cells. Journal of Neurochemistry. 110(4), 1363–1376.","ieee":"L. Fernández Alacid <i>et al.</i>, “ Subcellular compartment-specific molecular diversity of pre- and post-synaptic GABAB-activated GIRK channels in Purkinje cells,” <i>Journal of Neurochemistry</i>, vol. 110, no. 4. Wiley-Blackwell, pp. 1363–1376, 2009."},"day":"01","publisher":"Wiley-Blackwell","extern":1,"_id":"2498","title":" Subcellular compartment-specific molecular diversity of pre- and post-synaptic GABAB-activated GIRK channels in Purkinje cells","publist_id":"4403","volume":110,"month":"08","publication":"Journal of Neurochemistry","page":"1363 - 1376","status":"public","type":"journal_article","quality_controlled":0,"doi":"10.1111/j.1471-4159.2009.06229.x","publication_status":"published","intvolume":"       110","abstract":[{"text":"Activation of G protein-gated inwardly-rectifying K+ (GIRK or Kir3) channels by metabotropic gamma-aminobutyric acid (B) (GABAB) receptors is an essential signalling pathway controlling neuronal excitability and synaptic transmission in the brain. To investigate the relationship between GIRK channel subunits and GABAB receptors in cerebellar Purkinje cells at post- and pre-synaptic sites, we used biochemical, functional and immunohistochemical techniques. Co-immunoprecipitation analysis demonstrated that GIRK subunits are co-assembled with GABAB receptors in the cerebellum. Immunoelectron microscopy showed that the subunit composition of GIRK channels in Purkinje cell spines is compartment-dependent. Thus, at extrasynaptic sites GIRK channels are formed by GIRK1/GIRK2/GIRK3, post-synaptic densities contain GIRK2/GIRK3 and dendritic shafts contain GIRK1/GIRK3. The post-synaptic association of GIRK subunits with GABAB receptors in Purkinje cells is supported by the subcellular regulation of the ion channel and the receptor in mutant mice. At pre-synaptic sites, GIRK channels localized to parallel fibre terminals are formed by GIRK1/GIRK2/GIRK3 and co-localize with GABAB receptors. Consistent with this morphological evidence we demonstrate their functional interaction at axon terminals in the cerebellum by showing that GIRK channels play a role in the inhibition of glutamate release by GABAB receptors. The association of GIRK channels and GABA B receptors with excitatory synapses at both post- and pre-synaptic sites indicates their intimate involvement in the modulation of glutamatergic neurotransmission in the cerebellum.","lang":"eng"}],"date_created":"2018-12-11T11:58:01Z","author":[{"full_name":"Fernández-Alacid, Laura","last_name":"Fernández Alacid","first_name":"Laura"},{"first_name":"Carolina","full_name":"Aguado, Carolina","last_name":"Aguado"},{"full_name":"Ciruela, Francisco","last_name":"Ciruela","first_name":"Francisco"},{"last_name":"Martín","full_name":"Martín, Ricardo J","first_name":"Ricardo"},{"last_name":"Colón","full_name":"Colón, José","first_name":"José"},{"first_name":"María","last_name":"Cabañero","full_name":"Cabañero, María José"},{"last_name":"Gassmann","full_name":"Gassmann, Martin","first_name":"Martin"},{"last_name":"Watanabe","full_name":"Watanabe, Masahiko","first_name":"Masahiko"},{"first_name":"Ryuichi","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","full_name":"Ryuichi Shigemoto","last_name":"Shigemoto"},{"last_name":"Wickman","full_name":"Wickman, Kevin D","first_name":"Kevin"},{"full_name":"Bettler, Bernhard","last_name":"Bettler","first_name":"Bernhard"},{"last_name":"Sánchez Prieto","full_name":"Sánchez-Prieto, José","first_name":"José"},{"first_name":"Rafael","last_name":"Luján","full_name":"Luján, Rafael"}],"issue":"4","year":"2009","date_updated":"2021-01-12T06:57:50Z","date_published":"2009-08-01T00:00:00Z"},{"date_updated":"2021-01-12T06:57:51Z","date_published":"2009-08-15T00:00:00Z","issue":"15","year":"2009","author":[{"first_name":"Marie","last_name":"Rives","full_name":"Rives, Marie L"},{"full_name":"Vol, Claire","last_name":"Vol","first_name":"Claire"},{"last_name":"Fukazawa","full_name":"Fukazawa, Yugo","first_name":"Yugo"},{"first_name":"Norbert","last_name":"Tinel","full_name":"Tinel, Norbert"},{"first_name":"Eric","last_name":"Trinquet","full_name":"Trinquet, Eric"},{"last_name":"Ayoub","full_name":"Ayoub, Mohammed A","first_name":"Mohammed"},{"full_name":"Ryuichi Shigemoto","last_name":"Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi"},{"last_name":"Pin","full_name":"Pin, Jean-Philippe","first_name":"Jean"},{"first_name":"Laurent","last_name":"Prezèau","full_name":"Prezèau, Laurent"}],"oa":1,"doi":"10.1038/emboj.2009.177","main_file_link":[{"open_access":"1","url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2726695/"}],"abstract":[{"text":"G protein-coupled receptors (GPCRs) have critical functions in intercellular communication. Although a wide range of different receptors have been identified in the same cells, the mechanism by which signals are integrated remains elusive. The ability of GPCRs to form dimers or larger hetero-oligomers is thought to generate such signal integration. We examined the molecular mechanisms responsible for the GABAB receptor-mediated potentiation of the mGlu receptor signalling reported in Purkinje neurons. We showed that this effect does not require a physical interaction between both receptors. Instead, it is the result of a more general mechanism in which the βγ subunits produced by the Gi-coupled GABAB receptor enhance the mGlu-mediated Gq response. Most importantly, this mechanism could be generally applied to other pairs of Gi- and Gq-coupled receptors and the signal integration varied depending on the time delay between activation of each receptor. Such a mechanism helps explain specific properties of cells expressing two different Gi- and Gq-coupled receptors activated by a single transmitter, or properties of GPCRs naturally coupled to both types of the G protein.","lang":"eng"}],"date_created":"2018-12-11T11:58:01Z","intvolume":"        28","publication_status":"published","quality_controlled":0,"type":"journal_article","status":"public","page":"2195 - 2208","publication":"EMBO Journal","publist_id":"4402","volume":28,"month":"08","title":"Crosstalk between GABAB and mGlu1a receptors reveals new insight into GPCR signal integration","_id":"2499","extern":1,"day":"15","publisher":"Wiley-Blackwell","citation":{"short":"M. Rives, C. Vol, Y. Fukazawa, N. Tinel, E. Trinquet, M. Ayoub, R. Shigemoto, J. Pin, L. Prezèau, EMBO Journal 28 (2009) 2195–2208.","ieee":"M. Rives <i>et al.</i>, “Crosstalk between GABAB and mGlu1a receptors reveals new insight into GPCR signal integration,” <i>EMBO Journal</i>, vol. 28, no. 15. Wiley-Blackwell, pp. 2195–2208, 2009.","ista":"Rives M, Vol C, Fukazawa Y, Tinel N, Trinquet E, Ayoub M, Shigemoto R, Pin J, Prezèau L. 2009. Crosstalk between GABAB and mGlu1a receptors reveals new insight into GPCR signal integration. EMBO Journal. 28(15), 2195–2208.","mla":"Rives, Marie, et al. “Crosstalk between GABAB and MGlu1a Receptors Reveals New Insight into GPCR Signal Integration.” <i>EMBO Journal</i>, vol. 28, no. 15, Wiley-Blackwell, 2009, pp. 2195–208, doi:<a href=\"https://doi.org/10.1038/emboj.2009.177\">10.1038/emboj.2009.177</a>.","ama":"Rives M, Vol C, Fukazawa Y, et al. Crosstalk between GABAB and mGlu1a receptors reveals new insight into GPCR signal integration. <i>EMBO Journal</i>. 2009;28(15):2195-2208. doi:<a href=\"https://doi.org/10.1038/emboj.2009.177\">10.1038/emboj.2009.177</a>","apa":"Rives, M., Vol, C., Fukazawa, Y., Tinel, N., Trinquet, E., Ayoub, M., … Prezèau, L. (2009). Crosstalk between GABAB and mGlu1a receptors reveals new insight into GPCR signal integration. <i>EMBO Journal</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1038/emboj.2009.177\">https://doi.org/10.1038/emboj.2009.177</a>","chicago":"Rives, Marie, Claire Vol, Yugo Fukazawa, Norbert Tinel, Eric Trinquet, Mohammed Ayoub, Ryuichi Shigemoto, Jean Pin, and Laurent Prezèau. “Crosstalk between GABAB and MGlu1a Receptors Reveals New Insight into GPCR Signal Integration.” <i>EMBO Journal</i>. Wiley-Blackwell, 2009. <a href=\"https://doi.org/10.1038/emboj.2009.177\">https://doi.org/10.1038/emboj.2009.177</a>."}},{"day":"14","publisher":"Society for Neuroscience","extern":1,"_id":"2500","citation":{"short":"E. Tarusawa, K. Matsui, T. Budisantoso, E. Molnár, M. Watanabe, M. Matsui, Y. Fukazawa, R. Shigemoto, Journal of Neuroscience 29 (2009) 12896–12908.","ieee":"E. Tarusawa <i>et al.</i>, “Input-specific intrasynaptic arrangements of ionotropic glutamate receptors and their impact on postsynaptic responses,” <i>Journal of Neuroscience</i>, vol. 29, no. 41. Society for Neuroscience, pp. 12896–12908, 2009.","ista":"Tarusawa E, Matsui K, Budisantoso T, Molnár E, Watanabe M, Matsui M, Fukazawa Y, Shigemoto R. 2009. Input-specific intrasynaptic arrangements of ionotropic glutamate receptors and their impact on postsynaptic responses. Journal of Neuroscience. 29(41), 12896–12908.","mla":"Tarusawa, Etsuko, et al. “Input-Specific Intrasynaptic Arrangements of Ionotropic Glutamate Receptors and Their Impact on Postsynaptic Responses.” <i>Journal of Neuroscience</i>, vol. 29, no. 41, Society for Neuroscience, 2009, pp. 12896–908, doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.6160-08.2009\">10.1523/JNEUROSCI.6160-08.2009</a>.","ama":"Tarusawa E, Matsui K, Budisantoso T, et al. Input-specific intrasynaptic arrangements of ionotropic glutamate receptors and their impact on postsynaptic responses. <i>Journal of Neuroscience</i>. 2009;29(41):12896-12908. doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.6160-08.2009\">10.1523/JNEUROSCI.6160-08.2009</a>","apa":"Tarusawa, E., Matsui, K., Budisantoso, T., Molnár, E., Watanabe, M., Matsui, M., … Shigemoto, R. (2009). Input-specific intrasynaptic arrangements of ionotropic glutamate receptors and their impact on postsynaptic responses. <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href=\"https://doi.org/10.1523/JNEUROSCI.6160-08.2009\">https://doi.org/10.1523/JNEUROSCI.6160-08.2009</a>","chicago":"Tarusawa, Etsuko, Ko Matsui, Timotheus Budisantoso, Elek Molnár, Masahiko Watanabe, Minoru Matsui, Yugo Fukazawa, and Ryuichi Shigemoto. “Input-Specific Intrasynaptic Arrangements of Ionotropic Glutamate Receptors and Their Impact on Postsynaptic Responses.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2009. <a href=\"https://doi.org/10.1523/JNEUROSCI.6160-08.2009\">https://doi.org/10.1523/JNEUROSCI.6160-08.2009</a>."},"publication":"Journal of Neuroscience","page":"12896 - 12908","title":"Input-specific intrasynaptic arrangements of ionotropic glutamate receptors and their impact on postsynaptic responses","volume":29,"publist_id":"4401","month":"10","quality_controlled":0,"type":"journal_article","doi":"10.1523/JNEUROSCI.6160-08.2009","publication_status":"published","date_created":"2018-12-11T11:58:02Z","abstract":[{"lang":"eng","text":"To examine the intrasynaptic arrangement of postsynaptic receptors in relation to the functional role of the synapse,we quantitatively analyzed the two-dimensional distribution of AMPA and NMDA receptors (AMPARs and NMDARs, respectively) using SDS-digested freeze-fracture replica labeling (SDS-FRL) and assessed the implication of distribution differences on the postsynaptic responses by simulation. In the dorsal lateral geniculate nucleus, corticogeniculate (CG) synapses were twice as large as retinogeniculate (RG) synapses but expressed similar numbers of AMPARs. Two-dimensional views of replicas revealed that AMPARs form microclusters in both synapses to a similar extent, resulting in larger AMPAR-lacking areas in the CG synapses. Despite the broad difference in the AMPAR distribution within a synapse, our simulations based on the actual receptor distributions suggested that the AMPAR quantal response at individual RG synapses is only slightly larger in amplitude, less variable, and faster in kinetics than that at CG synapses having a similar number of the receptors. NMDARs at the CG synapses were expressed twice as many as those in the RG synapses. Electrophysiological recordings confirmed a larger contribution of NMDAR relative to AMPAR-mediated responses in CG synapses. We conclude that synapse size and the density and distribution of receptors have minor influences on quantal responses and that the number of receptors acts as a predominant postsynaptic determinant of the synaptic strength mediated by both the AMPARs and NMDARs. "}],"intvolume":"        29","status":"public","issue":"41","year":"2009","date_updated":"2021-01-12T06:57:52Z","date_published":"2009-10-14T00:00:00Z","author":[{"last_name":"Tarusawa","full_name":"Tarusawa, Etsuko","first_name":"Etsuko"},{"first_name":"Ko","full_name":"Matsui, Ko","last_name":"Matsui"},{"full_name":"Budisantoso, Timotheus","last_name":"Budisantoso","first_name":"Timotheus"},{"last_name":"Molnár","full_name":"Molnár, Elek","first_name":"Elek"},{"first_name":"Masahiko","last_name":"Watanabe","full_name":"Watanabe, Masahiko"},{"full_name":"Matsui, Minoru","last_name":"Matsui","first_name":"Minoru"},{"last_name":"Fukazawa","full_name":"Fukazawa, Yugo","first_name":"Yugo"},{"full_name":"Ryuichi Shigemoto","last_name":"Shigemoto","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi"}]},{"page":"25 - 36","publication":"Journal of Neuroscience Methods","month":"10","volume":184,"publist_id":"4400","title":"Fluorescent Arc/Arg3.1 indicator mice: A versatile tool to study brain activity changes in vitro and in vivo","extern":1,"_id":"2501","publisher":"Elsevier","day":"30","citation":{"short":"V. Grinevich, A. Kolleker, M. Eliava, N. Takada, H. Takuma, Y. Fukazawa, R. Shigemoto, D. Kuhl, J. Waters, P. Seeburg, P. Osten, Journal of Neuroscience Methods 184 (2009) 25–36.","ista":"Grinevich V, Kolleker A, Eliava M, Takada N, Takuma H, Fukazawa Y, Shigemoto R, Kuhl D, Waters J, Seeburg P, Osten P. 2009. Fluorescent Arc/Arg3.1 indicator mice: A versatile tool to study brain activity changes in vitro and in vivo. Journal of Neuroscience Methods. 184(1), 25–36.","ieee":"V. Grinevich <i>et al.</i>, “Fluorescent Arc/Arg3.1 indicator mice: A versatile tool to study brain activity changes in vitro and in vivo,” <i>Journal of Neuroscience Methods</i>, vol. 184, no. 1. Elsevier, pp. 25–36, 2009.","mla":"Grinevich, Valery, et al. “Fluorescent Arc/Arg3.1 Indicator Mice: A Versatile Tool to Study Brain Activity Changes in Vitro and in Vivo.” <i>Journal of Neuroscience Methods</i>, vol. 184, no. 1, Elsevier, 2009, pp. 25–36, doi:<a href=\"https://doi.org/10.1016/j.jneumeth.2009.07.015\">10.1016/j.jneumeth.2009.07.015</a>.","ama":"Grinevich V, Kolleker A, Eliava M, et al. Fluorescent Arc/Arg3.1 indicator mice: A versatile tool to study brain activity changes in vitro and in vivo. <i>Journal of Neuroscience Methods</i>. 2009;184(1):25-36. doi:<a href=\"https://doi.org/10.1016/j.jneumeth.2009.07.015\">10.1016/j.jneumeth.2009.07.015</a>","apa":"Grinevich, V., Kolleker, A., Eliava, M., Takada, N., Takuma, H., Fukazawa, Y., … Osten, P. (2009). Fluorescent Arc/Arg3.1 indicator mice: A versatile tool to study brain activity changes in vitro and in vivo. <i>Journal of Neuroscience Methods</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jneumeth.2009.07.015\">https://doi.org/10.1016/j.jneumeth.2009.07.015</a>","chicago":"Grinevich, Valery, Alexander Kolleker, Marina Eliava, Naoki Takada, Hiroshi Takuma, Yugo Fukazawa, Ryuichi Shigemoto, et al. “Fluorescent Arc/Arg3.1 Indicator Mice: A Versatile Tool to Study Brain Activity Changes in Vitro and in Vivo.” <i>Journal of Neuroscience Methods</i>. Elsevier, 2009. <a href=\"https://doi.org/10.1016/j.jneumeth.2009.07.015\">https://doi.org/10.1016/j.jneumeth.2009.07.015</a>."},"date_published":"2009-10-30T00:00:00Z","date_updated":"2021-01-12T06:57:52Z","year":"2009","issue":"1","author":[{"full_name":"Grinevich, Valery V","last_name":"Grinevich","first_name":"Valery"},{"first_name":"Alexander","full_name":"Kolleker, Alexander","last_name":"Kolleker"},{"full_name":"Eliava, Marina I","last_name":"Eliava","first_name":"Marina"},{"last_name":"Takada","full_name":"Takada, Naoki","first_name":"Naoki"},{"first_name":"Hiroshi","last_name":"Takuma","full_name":"Takuma, Hiroshi"},{"first_name":"Yugo","full_name":"Fukazawa, Yugo","last_name":"Fukazawa"},{"first_name":"Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","last_name":"Shigemoto","full_name":"Ryuichi Shigemoto"},{"full_name":"Kuhl, Dietmar","last_name":"Kuhl","first_name":"Dietmar"},{"first_name":"Jack","full_name":"Waters, Jack","last_name":"Waters"},{"full_name":"Seeburg, Peter H","last_name":"Seeburg","first_name":"Peter"},{"first_name":"Pavel","last_name":"Osten","full_name":"Osten, Pavel"}],"date_created":"2018-12-11T11:58:02Z","intvolume":"       184","abstract":[{"lang":"eng","text":"The brain-specific immediate early gene Arc/Arg3.1 is induced in response to a variety of stimuli, including sensory and behavior-linked neural activity. Here we report the generation of transgenic mice, termed TgArc/Arg3.1-d4EGFP, expressing a 4-h half-life form of enhanced green fluorescent protein (d4EGFP) under the control of the Arc/Arg3.1 promoter. We show that d4EGFP-mediated fluorescence faithfully reports Arc/Arg3.1 induction in response to physiological, pathological and pharmacological stimuli, and that this fluorescence permits electrical recording from activated neurons in the live mouse. Moreover, the fluorescent Arc/Arg3.1 indicator revealed activity changes in circumscribed brain areas in distinct modes of stress and in a mouse model of Alzheimer's disease. These findings identify the TgArc/Arg3.1-d4EGFP mouse as a versatile tool to monitor Arc/Arg3.1 induction in neural circuits, both in vitro and in vivo."}],"publication_status":"published","doi":"10.1016/j.jneumeth.2009.07.015","type":"journal_article","quality_controlled":0,"status":"public"},{"month":"12","publist_id":"4399","volume":168,"title":"Tuning of the Zernike phase-plate for visualization of detailed ultrastructure in complex biological specimens","page":"476 - 484","publication":"Journal of Structural Biology","citation":{"chicago":"Fukuda, Yoshiyuki, Yugo Fukazawa, Radostin Danev, Ryuichi Shigemoto, and Kuniaki Nagayama. “Tuning of the Zernike Phase-Plate for Visualization of Detailed Ultrastructure in Complex Biological Specimens.” <i>Journal of Structural Biology</i>. Academic Press, 2009. <a href=\"https://doi.org/10.1016/j.jsb.2009.08.011\">https://doi.org/10.1016/j.jsb.2009.08.011</a>.","apa":"Fukuda, Y., Fukazawa, Y., Danev, R., Shigemoto, R., &#38; Nagayama, K. (2009). Tuning of the Zernike phase-plate for visualization of detailed ultrastructure in complex biological specimens. <i>Journal of Structural Biology</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.jsb.2009.08.011\">https://doi.org/10.1016/j.jsb.2009.08.011</a>","ama":"Fukuda Y, Fukazawa Y, Danev R, Shigemoto R, Nagayama K. Tuning of the Zernike phase-plate for visualization of detailed ultrastructure in complex biological specimens. <i>Journal of Structural Biology</i>. 2009;168(3):476-484. doi:<a href=\"https://doi.org/10.1016/j.jsb.2009.08.011\">10.1016/j.jsb.2009.08.011</a>","mla":"Fukuda, Yoshiyuki, et al. “Tuning of the Zernike Phase-Plate for Visualization of Detailed Ultrastructure in Complex Biological Specimens.” <i>Journal of Structural Biology</i>, vol. 168, no. 3, Academic Press, 2009, pp. 476–84, doi:<a href=\"https://doi.org/10.1016/j.jsb.2009.08.011\">10.1016/j.jsb.2009.08.011</a>.","ieee":"Y. Fukuda, Y. Fukazawa, R. Danev, R. Shigemoto, and K. Nagayama, “Tuning of the Zernike phase-plate for visualization of detailed ultrastructure in complex biological specimens,” <i>Journal of Structural Biology</i>, vol. 168, no. 3. Academic Press, pp. 476–484, 2009.","ista":"Fukuda Y, Fukazawa Y, Danev R, Shigemoto R, Nagayama K. 2009. Tuning of the Zernike phase-plate for visualization of detailed ultrastructure in complex biological specimens. Journal of Structural Biology. 168(3), 476–484.","short":"Y. Fukuda, Y. Fukazawa, R. Danev, R. Shigemoto, K. Nagayama, Journal of Structural Biology 168 (2009) 476–484."},"_id":"2502","extern":1,"publisher":"Academic Press","day":"01","author":[{"full_name":"Fukuda, Yoshiyuki","last_name":"Fukuda","first_name":"Yoshiyuki"},{"full_name":"Fukazawa, Yugo","last_name":"Fukazawa","first_name":"Yugo"},{"first_name":"Radostin","full_name":"Danev, Radostin S","last_name":"Danev"},{"id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-8761-9444","first_name":"Ryuichi","full_name":"Ryuichi Shigemoto","last_name":"Shigemoto"},{"first_name":"Kuniaki","full_name":"Nagayama, Kuniaki","last_name":"Nagayama"}],"date_published":"2009-12-01T00:00:00Z","date_updated":"2021-01-12T06:57:52Z","year":"2009","issue":"3","status":"public","publication_status":"published","intvolume":"       168","abstract":[{"text":"In order to acquire phase-contrast images with adequate contrast, conventional TEM requires large amount of defocus. Increasing the defocus improves the low-frequency components but attenuates the high-frequency ones. On the other hand, Zernike phase-contrast TEM (ZPC-TEM) can recover low-frequency components without losing the high-frequency ones under in-focus conditions. ZPC-TEM however, has another problem, especially in imaging of complex biological specimens such as cells and tissues; strong halos appear around specimen structures, and these halos hinder the interpretation of images. Due to this problem, the application of ZPC-TEM has been restricted to imaging of smaller particles. In order to improve the halo appearance, we fabricated a new quarter-wave thin film phase-plate with a smaller central hole and tested it on vitreous biological specimens. ZPC-TEM with the new plate could successfully visualize, in in-focus images, the intracellular fine features of cultured cells and brain tissues. This result indicates that reduction of the central hole diameter makes ZPC-TEM applicable on size scales ranging from protein particles to tissue sections. The application of ZPC-TEM to vitreous biological specimens will be a powerful method to advance the new field of imaging science for ultrastructures in close-to-physiological state.","lang":"eng"}],"date_created":"2018-12-11T11:58:03Z","doi":"10.1016/j.jsb.2009.08.011","quality_controlled":0,"type":"journal_article"},{"date_updated":"2021-01-12T06:52:11Z","date_published":"2009-01-31T00:00:00Z","year":"2009","article_processing_charge":"No","author":[{"first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","full_name":"Browning, Timothy D","last_name":"Browning"},{"first_name":"Roger","last_name":"Heath Brown","full_name":"Heath Brown, Roger"}],"oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0611086"}],"date_created":"2018-12-11T11:44:58Z","publication_status":"published","abstract":[{"lang":"eng","text":"Let g be a cubic polynomial with integer coefficients and n&gt;9 variables, and assume that the congruence g=0 modulo p^k is soluble for all prime powers p^k. We show that the equation g=0 has infinitely many integer solutions when the cubic part of g defines a projective hypersurface with singular locus of dimension &lt;n-10. The proof is based on the Hardy-Littlewood circle method."}],"oa_version":"Preprint","type":"book_chapter","quality_controlled":"1","status":"public","external_id":{"arxiv":["0611086"]},"page":"75 - 90","publication":"Analytic Number Theory: Essays in honour of Klaus Roth","publist_id":"7757","month":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Integral points on cubic hypersurfaces","_id":"164","extern":"1","day":"31","publisher":"Cambridge University Press","arxiv":1,"citation":{"apa":"Browning, T. D., &#38; Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In <i>Analytic Number Theory: Essays in honour of Klaus Roth</i> (pp. 75–90). Cambridge University Press.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Integral Points on Cubic Hypersurfaces.” In <i>Analytic Number Theory: Essays in Honour of Klaus Roth</i>, 75–90. Cambridge University Press, 2009.","ama":"Browning TD, Heath Brown R. Integral points on cubic hypersurfaces. In: <i>Analytic Number Theory: Essays in Honour of Klaus Roth</i>. Cambridge University Press; 2009:75-90.","ieee":"T. D. Browning and R. Heath Brown, “Integral points on cubic hypersurfaces,” in <i>Analytic Number Theory: Essays in honour of Klaus Roth</i>, Cambridge University Press, 2009, pp. 75–90.","ista":"Browning TD, Heath Brown R. 2009.Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in honour of Klaus Roth. , 75–90.","short":"T.D. Browning, R. Heath Brown, in:, Analytic Number Theory: Essays in Honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.","mla":"Browning, Timothy D., and Roger Heath Brown. “Integral Points on Cubic Hypersurfaces.” <i>Analytic Number Theory: Essays in Honour of Klaus Roth</i>, Cambridge University Press, 2009, pp. 75–90."},"language":[{"iso":"eng"}]},{"page":"1 - 18","acknowledgement":"Proceedings of the 5th China-Japan Seminar","conference":{"name":"Number Theory: Dreaming in dreams"},"volume":6,"publist_id":"7756","month":"08","title":"Resent progress on the quantitative arithmetic of del Pezzo surfaces","_id":"165","extern":1,"day":"24","publisher":"World Scientific Publishing","citation":{"ama":"Browning TD. Resent progress on the quantitative arithmetic of del Pezzo surfaces. In: Aoki T, Kanemitsu S, Liu J, eds. Vol 6. World Scientific Publishing; 2009:1-18. doi:<a href=\"https://doi.org/10.1142/9789814289924_0001\">https://doi.org/10.1142/9789814289924_0001</a>","apa":"Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, &#38; J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814289924_0001\">https://doi.org/10.1142/9789814289924_0001</a>","chicago":"Browning, Timothy D. “Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces.” edited by Takashi Aoki, Shigeru Kanemitsu, and Jianya Liu, 6:1–18. World Scientific Publishing, 2009. <a href=\"https://doi.org/10.1142/9789814289924_0001\">https://doi.org/10.1142/9789814289924_0001</a>.","ista":"Browning TD. 2009. Resent progress on the quantitative arithmetic of del Pezzo surfaces. Number Theory: Dreaming in dreams, Series on number theory and its application, vol. 6, 1–18.","ieee":"T. D. Browning, “Resent progress on the quantitative arithmetic of del Pezzo surfaces,” presented at the Number Theory: Dreaming in dreams, 2009, vol. 6, pp. 1–18.","short":"T.D. Browning, in:, T. Aoki, S. Kanemitsu, J. Liu (Eds.), World Scientific Publishing, 2009, pp. 1–18.","mla":"Browning, Timothy D. <i>Resent Progress on the Quantitative Arithmetic of Del Pezzo Surfaces</i>. Edited by Takashi Aoki et al., vol. 6, World Scientific Publishing, 2009, pp. 1–18, doi:<a href=\"https://doi.org/10.1142/9789814289924_0001\">https://doi.org/10.1142/9789814289924_0001</a>."},"editor":[{"first_name":"Takashi","full_name":"Aoki, Takashi","last_name":"Aoki"},{"first_name":"Shigeru","last_name":"Kanemitsu","full_name":"Kanemitsu, Shigeru"},{"first_name":"Jianya","full_name":"Liu, Jianya","last_name":"Liu"}],"date_updated":"2021-01-12T06:52:15Z","date_published":"2009-08-24T00:00:00Z","alternative_title":["Series on number theory and its application"],"year":"2009","author":[{"orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","last_name":"Browning"}],"doi":"https://doi.org/10.1142/9789814289924_0001","abstract":[{"text":"We survey the state of affairs for the distribution of ℚ-rational points on non-singular del Pezzo surfaces of low degree, highlighting the recent resolution of Manin's conjecture for a non-singular del Pezzo surface of degree 4 by la Bretèche and Browning.","lang":"eng"}],"intvolume":"         6","date_created":"2018-12-11T11:44:58Z","publication_status":"published","type":"conference","quality_controlled":0,"status":"public"},{"month":"01","volume":493,"publist_id":"7753","title":"Solubility of Fermat equations","page":"99 - 106","publication":"Quadratic Forms - algebra, arithmetic and geometry","citation":{"mla":"Browning, Timothy D., and Rainer Dietmann. “Solubility of Fermat Equations.” <i>Quadratic Forms - Algebra, Arithmetic and Geometry</i>, vol. 493, American Mathematical Society, 2009, pp. 99–106, doi:<a href=\"http://dx.doi.org/10.1090/conm/493\">http://dx.doi.org/10.1090/conm/493</a>.","ieee":"T. D. Browning and R. Dietmann, “Solubility of Fermat equations,” in <i>Quadratic Forms - algebra, arithmetic and geometry</i>, vol. 493, American Mathematical Society, 2009, pp. 99–106.","short":"T.D. Browning, R. Dietmann, in:, Quadratic Forms - Algebra, Arithmetic and Geometry, American Mathematical Society, 2009, pp. 99–106.","ista":"Browning TD, Dietmann R. 2009.Solubility of Fermat equations. In: Quadratic Forms - algebra, arithmetic and geometry. Contemporary Mathematics, vol. 493, 99–106.","ama":"Browning TD, Dietmann R. Solubility of Fermat equations. In: <i>Quadratic Forms - Algebra, Arithmetic and Geometry</i>. Vol 493. American Mathematical Society; 2009:99-106. doi:<a href=\"http://dx.doi.org/10.1090/conm/493\">http://dx.doi.org/10.1090/conm/493</a>","chicago":"Browning, Timothy D, and Rainer Dietmann. “Solubility of Fermat Equations.” In <i>Quadratic Forms - Algebra, Arithmetic and Geometry</i>, 493:99–106. American Mathematical Society, 2009. <a href=\"http://dx.doi.org/10.1090/conm/493\">http://dx.doi.org/10.1090/conm/493</a>.","apa":"Browning, T. D., &#38; Dietmann, R. (2009). Solubility of Fermat equations. In <i>Quadratic Forms - algebra, arithmetic and geometry</i> (Vol. 493, pp. 99–106). American Mathematical Society. <a href=\"http://dx.doi.org/10.1090/conm/493\">http://dx.doi.org/10.1090/conm/493</a>"},"extern":1,"_id":"168","publisher":"American Mathematical Society","day":"01","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning","last_name":"Browning"},{"first_name":"Rainer","last_name":"Dietmann","full_name":"Dietmann, Rainer"}],"date_published":"2009-01-01T00:00:00Z","date_updated":"2021-01-12T06:52:29Z","year":"2009","alternative_title":["Contemporary Mathematics"],"status":"public","date_created":"2018-12-11T11:44:59Z","abstract":[{"lang":"eng","text":"The arithmetic of ternary diagonal equation is considered for degree d &gt;1, with the outcome that the set of coefficients for which the equation admits a non-zero integer solution is shown to have density zero."}],"intvolume":"       493","publication_status":"published","main_file_link":[{"url":"https://arxiv.org/abs/0805.3354","open_access":"0"}],"doi":"http://dx.doi.org/10.1090/conm/493","type":"book_chapter","quality_controlled":0}]