A new form of the reciprocal relation for generalized Dedekind sums

UDC 517.5 We mainly generalize a reciprocal relation in the inverse form, namely,  $$S(2\overline{h}, m, n, k)+S(2\overline{k}, m, n, h)$$ for the generalized Dedekind sums by using the Fourier expansions of the Bernoulli polynomials and  analytic methods. Further, the reciprocal relation for genera...

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Bibliographic Details
Date:2026
Main Authors: Luo, Shiyuan, Xu, Zhefeng
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2026
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8522
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal