Distribution of the error term for the number of lattice points inside a shifted circle-Reference-Cited by-同舟云学术

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Distribution of the error term for the number of lattice points inside a shifted circle

Published:1993-06 Issue:3 Volume:154 Page:433-469
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun.Math. Phys.

Author:

Bleher Pavel M.,Cheng Zheming,Dyson Freeman J.,Lebowitz Joel L.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/BF02102104.pdf

Reference23 articles.

1. [B] Berry, M.V.: Semiclassical theory of spectral rigidity. Proc. Roy. Soc. London, Ser. A400, 229–251 (1985)

2. [Be] Beck, J.: Probabilistic Diophantine approximations. Preprint, Rutgers University, 1992

3. [Bl1] Bleher, P.M.: Quasiclassical expansion and the problem of quantum chaos. Lect. Notes in Math.1469 60–89 (1991)

4. [Bl2] Bleher, P.M.: On the distribution of the number of lattice points inside a family of convex ovals. Duke Math. J.67, 461–481 (1992)

5. [Bl3] Bleher P.M.: Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems. Preprint, Tel Aviv University, 1992 (to appear in Duke Math. Journ.)

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