Multiple elliptic Apostol-Dedekind-Zagier sums

DOI10.1016/j.crma.2004.07.018zbMath1099.11026OpenAlexW2049682173MaRDI QIDQ704253

Abdelmejid Bayad

Publication date: 13 January 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.018

zbMATH Keywords

reciprocitygeneralized Dedekind sumsJacobi modular formsDedekind-Zagier multiple sums

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Jacobi forms (11F50) Trigonometric and exponential sums (general theory) (11L03)

Related Items

Dedekind sums with a parameter in finite fields, Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions, Special functions related to Dedekind-type DC-sums and their applications, An elliptic analogue of generalized Dedekind-Rademacher sums, Applications to elliptic Apostol-Dedekind-Zagier sums

Cites Work

• Higher dimensional Dedekind sums
• Generalized Dedekind sums and transformation formulae of certain Lambert series
• Note sur une forme de Jacobi méromorphe
• Sommes de Dedekind elliptiques et formes de Jacobi. (Elliptic Dedekind sums and Jacobi forms).