Dedekind sums with a parameter in finite fields

DOI10.1016/j.ffa.2014.01.010zbMath1296.11028OpenAlexW1967911227MaRDI QIDQ402540

Yoshinori Hamahata

Publication date: 28 August 2014

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.01.010

zbMATH Keywords

finite fieldreciprocity lawDedekind sumApostol-Dedekind sum

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Dedekind eta function, Dedekind sums (11F20)

Related Items

Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series ⋮ Higher-order character Dedekind sum ⋮ On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials

Cites Work

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• Multiple Dedekind-Rademacher sums in finite fields
• Arithmetic of higher dimensional Dedekind-Rademacher sums
• Higher dimensional Dedekind sums in finite fields
• Applications to elliptic Apostol-Dedekind-Zagier sums
• Multiple elliptic Apostol-Dedekind-Zagier sums
• Finite modular forms
• A generating function of higher-dimensional Apostol--Zagier sums and its reciprocity law
• Higher dimensional Dedekind sums
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Theorems on generalized Dedekind sums
• Dedekind sums for finite fields

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