A twisted generalization of the classical Dedekind sum

DOI10.1142/S1793042120400059zbMath1469.11259OpenAlexW3011265439MaRDI QIDQ5857401

Brad Isaacson

Publication date: 1 April 2021

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

Full work available at URL: https://doi.org/10.1142/s1793042120400059

zbMATH Keywords

exponential sumsgeneralized Bernoulli numberscharacter sumscotangent sumstrigonometric sums

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03)

Related Items (1)

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Cites Work

• Finite trigonometric sums and class numbers
• The Tsukano conjectures on exponential sums
• The spaces of Siegel cusp forms of degree two and the representation of \(\mathrm{Sp}(2,\mathbb F_ p)\)
• Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
• On \(L\)-functions of ternary zero forms and exponential sums of Lee and Weintraub
• Character sums of Lee and Weintraub
• Identities involving trigonometric functions and Bernoulli numbers
• Dirichlet L-functions and character power sums
• DETERMINATIONS OF ANALOGUES OF GAUSS SUMS AND OTHER TRIGONOMETRIC SUMS
• P-adic interpolation of dedekind sums
• SPECIAL VALUES OF IBUKIYAMA-SAITO <i>L</i>-FUNCTIONS
• FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS
• Bernoulli Numbers and Zeta Functions
• An elementary proof of some character sum identities of Apostol
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