Trigonometric Representations of Generalized Dedekind and Hardy Sums via the Discrete Fourier Transform

DOI10.1007/978-3-319-22240-0_20zbMath1385.11019arXiv1512.01466OpenAlexW2266770520MaRDI QIDQ2800643

László Tóth, Michael Th. Rassias

Publication date: 18 April 2016

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

Full work available at URL: https://arxiv.org/abs/1512.01466

zbMATH Keywords

Hurwitz zeta functionDedekind sumsdiscrete Fourier transformHardy sumsBernoulli polynomials and functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Dedekind eta function, Dedekind sums (11F20) Trigonometric and exponential sums (general theory) (11L03)

Related Items (1)

Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas

Cites Work

• Unnamed Item
• On certain sums generating the Dedekind sums and their reciprocity laws
• Cotangent sums, a further generlization of Dedekind sums
• Higher dimensional Dedekind sums
• Some theorems on generalized Dedekind sums
• Analytic Properties of Arithmetic Sums Arising in the Theory of the Classical Theta-Functions
• Dedekind and Hardy sums
• Euler constants for arithmetic progressions
• Asymptotic Formulas and Generalized Dedekind Sums
• Dedekind cotangent sums
• FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS

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