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- W2963961567 abstract "The difference between the number of lattice points in a disk of radius$sqrt{t}/2pi$ and the area of the disk $t/4pi$ is equal to the error in theWeyl asymptotic estimate for the eigenvalue counting function of the Laplacianon the standard flat torus. We give a sharp asymptotic expression for theaverage value of the difference over the interval $0 leq t leq R$. We obtainsimilar results for families of ellipses. We also obtain relations to theeigenvalue counting function for the Klein bottle and projective plane." @default.
- W2963961567 created "2019-07-30" @default.
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- W2963961567 date "2015-12-01" @default.
- W2963961567 modified "2023-10-17" @default.
- W2963961567 title "Average number of lattice points in a disk" @default.
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- W2963961567 doi "https://doi.org/10.3934/cpaa.2016.15.1" @default.
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