Dedekind sums arising from newform Eisenstein series

DOI10.1142/S1793042120501092zbMath1456.11062arXiv1907.01524MaRDI QIDQ5140297

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Publication date: 15 December 2020

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

Full work available at URL: https://arxiv.org/abs/1907.01524

zbMATH Keywords

newformEisenstein seriesDedekind sumsreciprocity formula

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Dedekind eta function, Dedekind sums (11F20)

Related Items (5)

The kernel of newform Dedekind sums ⋮ Reciprocity and the kernel of Dedekind sums ⋮ Algebraic properties of the values of newform Dedekind sums ⋮ Kronecker's first limit formula for Kleinian groups ⋮ An average of generalized Dedekind sums

Cites Work

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• On generalized Dedekind sums attached to Dirichlet characters
• Degenerate and character Dedekind sums
• Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
• Character analogues of Dedekind sums and transformations of analytic Eisenstein series
• Explicit calculations with Eisenstein series
• On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
• The theory of Hecke integrals
• On Eisenstein series with characters and the values of Dirichlet L-functions
• On Eisenstein series with characters and Dedekind sums
• Dedekind Sums for a Fuchsian Group, I

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