On the mean square formula of the error term in the Dirichlet divisor problem-Reference-Cited by-同舟云学术

On the mean square formula of the error term in the Dirichlet divisor problem

Published:2009-03 Issue:2 Volume:146 Page:277-287
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

LAU YUK-KAM,TSANG KAI-MAN

Abstract

AbstractLet F(x) be the remainder term in the mean square formula of the error term Δ(t) in the Dirichlet divisor problem. We improve on the upper estimate of F(x) obtained by Preissmann around twenty years ago. The method is robust, which applies to the same problem for the error terms in the circle problem and the mean square formula of the Riemann zeta-function.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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