Character analogue of the Boole summation formula with applications

DOI10.3906/mat-1607-23zbMath1424.65002arXiv1610.00965OpenAlexW2528963077MaRDI QIDQ4633361

Mümün Can, Muhammet Cihat Dağlı

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00965

zbMATH Keywords

Dirichlet \(L\)-functionBernoulli and Euler polynomialsBoole summation formulaHardy-Berndt sum

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Dedekind eta function, Dedekind sums (11F20) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (7)

Transformation formulas of a character analogue of $\log \theta _{2}(z)$ ⋮ Some series involving the Euler zeta function ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ Asymptotics of generalized partial theta functions with a Dirichlet character ⋮ Character gamma functions and evaluation of series with Dirichlet \(L\)-value coefficients ⋮ On the Stieltjes constants and gamma functions with respect to alternating Hurwitz zeta functions ⋮ A two-variable Dirichlet series and its applications

Uses Software

• DLMF

Cites Work

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