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On a generalized divisor problem I

Published online by Cambridge University Press:  22 January 2016

Yuk-Kam Lau
Yuk-Kam Lau*
Affiliation:
Institut Élie Cartan, Université Henri Poincaré (Nancy 1), 54506 Vandoeuvre lés Nancy Cedex, France
*
Department of Mathematics, The University of Hong Kong, Pokfulam Road, HONG KONG, yklau@maths.hku.hk
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Abstract

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We give a discussion on the properties of Δa (x) (− 1 < a < 0), which is a generalization of the error term Δ(x) in the Dirichlet divisor problem. In particular, we study its oscillatory nature and investigate the gaps between its sign-changes for −½ ≤ a < 0.

Keywords

11N64

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 165 , March 2002 , pp. 71 - 78
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

References

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