Some identities on the Hurwitz zeta function and the extended Euler sums

DOI10.1080/10652469.2012.723705zbMath1360.11087OpenAlexW1994470393MaRDI QIDQ2854304

Aijuan Li, Hui-Zeng Qin, Ni Na Shang

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.723705

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionextended Euler sums

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Hurwitz and Lerch zeta functions (11M35)

Related Items (7)

Extension of the four Euler sums being linear with parameters and series involving the zeta functions ⋮ The representation of Euler sums with parameters ⋮ On the Stieltjes constants with respect to harmonic zeta functions ⋮ The representation of the generalized linear Euler sums with parameters ⋮ On representation problems of Euler sums with multi-parameters ⋮ Four parametric linear Euler sums ⋮ Maximum of exponential random variables, Hurwitz's zeta function, and the partition function

Cites Work

• On the Hurwitz function for rational arguments
• An Elementary Proof of Euler's Formula for z(2m)

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