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math.SP2007
Improved Berezin-Li-Yau inequalities with a remainder term
Timo Weidl
We give an improvement of sharp Berezin type bounds on the Riesz means of the eigenvalues of the Dirichlet Laplacian in a domain if . It contai…
math-ph2007★ 1 cited
Polya's conjecture in the presence of a constant magnetic field
Rupert L. Frank, Michael Loss, Timo Weidl
We consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of finite measure. We determine the sharp constants in semi-classical eigenvalue esti…