A new reciprocity formula of Dedekind sums and its applications

Our main purpose of this article was using the analytic methods and the properties of Dirichlet $ L $-functions to study the properties of Dedekind sums and give a new reciprocity formula for it. As its applications, some exact calculating formula for one kind mean square value of Dirichlet $ L $-fu...

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Bibliographic Details
Main Authors: Zhuoyu Chen, Wenpeng Zhang
Format: Article
Language:English
Published: AIMS Press 2024-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024626?viewType=HTML