On reciprocity formula of Apostol-Dedekind sum with quasi-periodic Euler functions

DOI10.1016/j.jnt.2015.10.022zbMath1402.11064arXiv1508.02588OpenAlexW2962887481MaRDI QIDQ907476

Su Hu, Min-Soo Kim, Daeyeoul Kim

Publication date: 25 January 2016

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

Full work available at URL: https://arxiv.org/abs/1508.02588

zbMATH Keywords

Dedekind sumEuler polynomialquasi-periodic Euler functionsBoole summation formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Dedekind eta function, Dedekind sums (11F20) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (8)

The \(p\)-adic analytic Dedekind sums ⋮ A REPRESENTATION OF DEDEKIND SUMS WITH QUASI-PERIODICITY EULER FUNCTIONS ⋮ Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum ⋮ On the mean value of the generalized Dedekind sum and certain generalized Hardy sums weighted by the Kloosterman sum ⋮ Character analogue of the Boole summation formula with applications ⋮ Some series involving the Euler zeta function ⋮ Special values and integral representations for the Hurwitz-type Euler zeta functions ⋮ On the Stieltjes constants and gamma functions with respect to alternating Hurwitz zeta functions

Uses Software

• DLMF

Cites Work

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