Multiple Dedekind–Rademacher sums in function fields

DOI10.1142/S1793042114500274zbMath1303.11049OpenAlexW2130875836MaRDI QIDQ2876605

Abdelmejid Bayad, Yoshinori Hamahata

Publication date: 19 August 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042114500274

zbMATH Keywords

function fieldsDedekind sumsDrinfeld modulescotangent sumshigher-dimensional Dedekind sums

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Dedekind eta function, Dedekind sums (11F20) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (2)

Mean values of Goss \(L\)-functions and Dedekind sums ⋮ Generalized Dedekind sums and transformation formulae in function fields

Cites Work

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• On the coefficients of Drinfeld modular forms
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• Study of \(L(s,\chi)/\pi^s\) for \(L\)-functions relative to \(\mathbb{F}_q((T^{-1}))\) and associated to characters of degree 1
• Higher dimensional Dedekind sums
• DENOMINATORS OF DEDEKIND SUMS IN FUNCTION FIELDS
• Higher dimensional Dedekind sums in function fields
• The algebraist’s upper half-plane
• Quelques Formules Exactes Pour des Moyennes de Fonctions L de Dirichlet
• Dedekind cotangent sums

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