Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions

DOI10.5802/aif.2663zbMath1279.11044OpenAlexW1527877675MaRDI QIDQ416013

Abdelmejid Bayad, Yilmaz Simsek

Publication date: 9 May 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2011__61_5_1977_0/

zbMATH Keywords

modular formstheta functionsBernoulli functionselliptic Dedekind sumsellpitic functionsJacobi modular forms

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Dedekind eta function, Dedekind sums (11F20) Jacobi forms (11F50)

Related Items (6)

Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions ⋮ Explicit computations of some spectral invariants of compact symmetric spaces of rank one ⋮ On generalized Dedekind sums involving quasi-periodic Euler functions ⋮ A study on a type of degenerate poly-Dedekind sums ⋮ Results on values of Barnes polynomials ⋮ Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas

Cites Work

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• Barnes' multiple zeta function and Apostol's generalized Dedekind sum
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• Reciprocity formulae for general Dedekind-Rademacher sums
• On Barnes' multiple zeta and gamma functions
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