Arithmetic of higher dimensional Dedekind-Rademacher sums

DOI10.1016/j.jnt.2011.05.020zbMath1247.11058OpenAlexW2028210415MaRDI QIDQ653663

Abdelaziz Raouj, Abdelmejid Bayad

Publication date: 19 December 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.020

zbMATH Keywords

Dedekind sumsDedekind reciprocity lawDedekind-Rademacher sumsrationality theoremuniversal bound for denominatorsvon Staudt theorem

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items

Mean values of Goss \(L\)-functions and Dedekind sums ⋮ Dedekind sums with a parameter in finite fields ⋮ On generalized Dedekind sums involving quasi-periodic Euler functions ⋮ Toric modifications of cyclic orbifolds and an extended Zagier reciprocity for Dedekind sums ⋮ Mean values of \(L\)-functions and Dedekind sums ⋮ Reciprocity laws for Dedekind cotangent sums ⋮ Multiple Dedekind-Rademacher sums in finite fields ⋮ Generalized Dedekind sums and transformation formulae in function fields ⋮ Distribution and non-vanishing of special values of L-series attached to Erdős functions ⋮ Multiple Dedekind–Rademacher sums in function fields

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