On the mean values of Dedekind sums over short intervals

Weixia Liu
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 19, 2013, Number 2, Pages 60—68
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Authors and affiliations

Weixia Liu
Straits Institute, Minjiang University
Fuzhou, P. R. China

Abstract

The main purpose of this paper is using the mean values of Dirichlet L-functions and estimates for character sums to study the mean values of Dedekind sums over short intervals.

Keywords

• Dedekind sums
• Mean value
• Short interval
• Dirichlet L-function

AMS Classification

• 11M06
• 11M32

References

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