A series representation for Riemann's zeta function and some interesting identities that follow
DOI10.7153/jca-2020-17-09zbMath1499.11270arXiv2009.00446OpenAlexW3164516603MaRDI QIDQ5862874
Publication date: 10 March 2022
Published in: Journal of Classical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.00446
generalized exponential integralRiemann zeta functioninfinite seriesBernoulli numbersEuler numbersharmonic numbersalternating zeta functionevaluation of integralsDirichlet eta functionincomplete zeta function
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) (zeta (s)) and (L(s, chi)) (11M06) Elementary classical functions (33B99) Hurwitz and Lerch zeta functions (11M35) Analytic continuation of functions of one complex variable (30B40)
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