{"day":"01","publisher":"Cambridge University Press","scopus_import":"1","doi":"10.1017/S1474748024000161","article_processing_charge":"Yes (via OA deal)","publication_status":"epub_ahead","quality_controlled":"1","date_created":"2024-04-21T22:00:53Z","project":[{"grant_number":"P32428","name":"New frontiers of the Manin conjecture","call_identifier":"FWF","_id":"26AEDAB2-B435-11E9-9278-68D0E5697425"}],"month":"04","article_type":"original","publication":"Journal of the Institute of Mathematics of Jussieu","date_updated":"2024-04-23T07:13:29Z","_id":"15338","abstract":[{"lang":"eng","text":"We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields."}],"author":[{"first_name":"Timothy D","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177"},{"first_name":"Lillian B.","full_name":"Pierce, Lillian B.","last_name":"Pierce"},{"last_name":"Schindler","full_name":"Schindler, Damaris","first_name":"Damaris"}],"title":"Generalised quadratic forms over totally real number fields","year":"2024","date_published":"2024-04-01T00:00:00Z","file_date_updated":"2024-04-23T07:05:49Z","external_id":{"arxiv":["2212.11038"]},"has_accepted_license":"1","oa_version":"Published Version","status":"public","license":"https://creativecommons.org/licenses/by/4.0/","language":[{"iso":"eng"}],"department":[{"_id":"TiBr"}],"acknowledgement":"The authors are grateful to Jayce Getz for asking questions that set this project in motion and to the anonymous referee for useful comments. T.B. was supported by a FWF grant (DOI 10.55776/P32428) and by a grant from the Institute for Advanced Study School of Mathematics. L.B.P. was partially supported by NSF DMS-2200470 and DMS-1652173, and thanks the Hausdorff Centre for Mathematics for hosting research visits.","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1475-3030"],"issn":["1474-7480"]},"file":[{"date_created":"2024-04-23T07:05:49Z","file_name":"2024_JIMJ_Browning.pdf","success":1,"file_id":"15342","content_type":"application/pdf","relation":"main_file","date_updated":"2024-04-23T07:05:49Z","checksum":"ffc5522867ffe8ad07fdda046cff5f1d","creator":"dernst","access_level":"open_access","file_size":512498}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)"},"ddc":["510"],"citation":{"short":"T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu (2024).","ieee":"T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press, 2024.","chicago":"Browning, Timothy D, Lillian B. Pierce, and Damaris Schindler. “Generalised Quadratic Forms over Totally Real Number Fields.” <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press, 2024. <a href=\"https://doi.org/10.1017/S1474748024000161\">https://doi.org/10.1017/S1474748024000161</a>.","apa":"Browning, T. D., Pierce, L. B., &#38; Schindler, D. (2024). Generalised quadratic forms over totally real number fields. <i>Journal of the Institute of Mathematics of Jussieu</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S1474748024000161\">https://doi.org/10.1017/S1474748024000161</a>","ista":"Browning TD, Pierce LB, Schindler D. 2024. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu.","ama":"Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally real number fields. <i>Journal of the Institute of Mathematics of Jussieu</i>. 2024. doi:<a href=\"https://doi.org/10.1017/S1474748024000161\">10.1017/S1474748024000161</a>","mla":"Browning, Timothy D., et al. “Generalised Quadratic Forms over Totally Real Number Fields.” <i>Journal of the Institute of Mathematics of Jussieu</i>, Cambridge University Press, 2024, doi:<a href=\"https://doi.org/10.1017/S1474748024000161\">10.1017/S1474748024000161</a>."},"type":"journal_article"}