Sums involving the Hurwitz zeta function
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Publication:5943743
DOI10.1023/A:1011496709753zbMath0989.11043OpenAlexW2297087704MaRDI QIDQ5943743
Hiroshi Kumagai, Masami Yoshimoto, Shigeru Kanemitsu
Publication date: 17 September 2001
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1011496709753
Gamma, beta and polygamma functions (33B15) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)
Related Items (18)
Some integral and asymptotic formulas associated with the Hurwitz zeta function ⋮ Multiple Gamma Functions and Their Applications ⋮ Some mathematical constants ⋮ Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals ⋮ New summation relations for the Stieltjes constants ⋮ On some slowly convergent series involving the Hurwitz zeta-function. ⋮ The multiple gamma-functions and the log-gamma integrals ⋮ Some \(q\)-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order \(n\), and the multiple Hurwitz zeta function ⋮ Integrals of products of Hurwitz zeta functions and the Casimir effect in ϕ^4 field theories ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Series involving the zeta function and multiple Gamma functions ⋮ THE BARNES ζ-FUNCTION, SPHERE DETERMINANTS AND GLAISHER–KINKELIN–BENDERSKY CONSTANTS ⋮ Extremal values of multiple gamma and sine functions ⋮ 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 ⋮ Certain families of series associated with the Hurwitz--Lerch zeta function ⋮ Multiple gamma and related functions ⋮ On rapidly convergent series for the Riemann zeta-values via the modular relation
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