Harmonic sums and rational multiples of zeta functions

zbMath1261.05004MaRDI QIDQ1758799

Anthony Sofo

Publication date: 16 November 2012

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

beta functionseries representationsbinomial coefficientsharmonic numbersRiemann zeta functionstriple integral representation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic hypergeometric integrals and functions defined by them (33D60)

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Evaluations of sums involving harmonic numbers and binomial coefficients

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