{"oa_version":"None","author":[{"orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","first_name":"László","full_name":"Erdös, László"},{"last_name":"Loss","first_name":"Michael","full_name":"Loss, Michael"},{"last_name":"Vougalter","full_name":"Vougalter, Vitali","first_name":"Vitali"}],"article_processing_charge":"No","intvolume":"        50","issue":"3","date_updated":"2023-05-03T08:56:17Z","date_published":"2000-01-01T00:00:00Z","abstract":[{"text":"The Li-Yau semiclassical lower bound for the sum of the first N eigenvalues of the Dirichlet–Laplacian is extended to Dirichlet–Laplacians with constant magnetic fields. Our method involves a new diamagnetic inequality for constant magnetic fields.","lang":"eng"}],"publication_identifier":{"issn":["0373-0956"]},"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","doi":"10.5802/aif.1777","article_type":"original","status":"public","volume":50,"publication":"Annales de l'Institut Fourier","_id":"2733","type":"journal_article","day":"01","scopus_import":"1","quality_controlled":"1","language":[{"iso":"eng"}],"month":"01","publication_status":"published","publist_id":"4159","publisher":"Association des Annales de l'Institut Fourier","date_created":"2018-12-11T11:59:19Z","page":"891 - 907","title":"Diamagnetic behavior of sums Dirichlet eigenvalues","year":"2000","extern":"1","citation":{"apa":"Erdös, L., Loss, M., &#38; Vougalter, V. (2000). Diamagnetic behavior of sums Dirichlet eigenvalues. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.1777\">https://doi.org/10.5802/aif.1777</a>","ista":"Erdös L, Loss M, Vougalter V. 2000. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 50(3), 891–907.","chicago":"Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2000. <a href=\"https://doi.org/10.5802/aif.1777\">https://doi.org/10.5802/aif.1777</a>.","ieee":"L. Erdös, M. Loss, and V. Vougalter, “Diamagnetic behavior of sums Dirichlet eigenvalues,” <i>Annales de l’Institut Fourier</i>, vol. 50, no. 3. Association des Annales de l’Institut Fourier, pp. 891–907, 2000.","mla":"Erdös, László, et al. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” <i>Annales de l’Institut Fourier</i>, vol. 50, no. 3, Association des Annales de l’Institut Fourier, 2000, pp. 891–907, doi:<a href=\"https://doi.org/10.5802/aif.1777\">10.5802/aif.1777</a>.","short":"L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907.","ama":"Erdös L, Loss M, Vougalter V. Diamagnetic behavior of sums Dirichlet eigenvalues. <i>Annales de l’Institut Fourier</i>. 2000;50(3):891-907. doi:<a href=\"https://doi.org/10.5802/aif.1777\">10.5802/aif.1777</a>"}}