A remark on the asymptotic properties of eigenvalues and the lattice point problem

DOI10.2748/tmj/1178224901zbMath0918.35100OpenAlexW1966266830MaRDI QIDQ1283241

Mitsuru Sugimoto

Publication date: 19 August 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224901

zbMATH Keywords

error termsdistribution formulas

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Nonconvex bodies (11H16)

Cites Work

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• On the divisor and circle problems
• The spectrum of positive elliptic operators and periodic bicharacteristics
• A priori estimates for higher order hyperbolic equations
• Estimates for hyperbolic equations with non-convex characteristics
• The spectral function of an elliptic operator
• Über Integrale auf konvexen Körpern. I, II
• On the Asymptotic Behavior of the Fourier Transform of the Indicator Function of a Convex Set

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