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
Full paper (PDF, 167 Kb)

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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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