An average of generalized Dedekind sums

DOI10.1016/j.jnt.2019.11.008zbMath1445.11028arXiv1907.11745OpenAlexW2965328226WikidataQ126545841 ScholiaQ126545841MaRDI QIDQ2307459

Stephanie Gaston, Travis Dillon

Publication date: 27 March 2020

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

Full work available at URL: https://arxiv.org/abs/1907.11745

zbMATH Keywords

Fourier transformDedekind sumsDirichlet characters

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20)

Related Items (2)

The kernel of newform Dedekind sums ⋮ Algebraic properties of the values of newform Dedekind sums

Cites Work

• On the mean values of Dedekind sums
• An exact formula for an average of L-series
• Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
• Mean values of Dedekind sums
• On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
• Dedekind sums arising from newform Eisenstein series
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