%0 Journal Article %1 MR3304579 %A Kovar\'ık, Hynek %A Weidl, Timo %D 2015 %E Press, Cambridge Univ. %J Proc. Roy. Soc. Edinburgh Sect. A %K %N 1 %P 145-160 %R 10.1017/S0308210513001595 %T Improved Berezin-Li-Yau inequalities with magnetic field %U https://doi.org/10.1017/S0308210513001595 %V 145 %X "In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li-Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.''

@article{MR3304579, abstract = {"In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li-Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.''}, added-at = {2023-04-21T11:15:46.000+0200}, author = {Kovar\'ık, Hynek and Weidl, Timo}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2788733701971e5f0ddada0dd083d76ef/elkepeter}, doi = {10.1017/S0308210513001595}, editor = {Press, Cambridge Univ.}, interhash = {74a290bcdbdb4a01aad3e89c55391a0c}, intrahash = {788733701971e5f0ddada0dd083d76ef}, issn = {0308-2105}, journal = {Proc. Roy. Soc. Edinburgh Sect. A}, keywords = {}, language = {English}, mrclass = {35P20 (35J05)}, mrnumber = {3304579}, number = 1, pages = {145-160}, timestamp = {2023-04-21T11:15:55.000+0200}, title = {Improved Berezin-Li-Yau inequalities with magnetic field}, url = {https://doi.org/10.1017/S0308210513001595}, volume = 145, year = 2015 }