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arXiv:2007.10447 [math.CA]AbstractReferencesReviewsResources

On $q$-analogs of zeta functions associated with a pair of $q$-analogs of Bernoulli numbers and polynomials

Ahmad El-Guindy, Zeinab Mansour

Published 2020-07-20Version 1

In this paper, we use two different approaches to introduce $q$-analogs of Riemann's zeta function and prove that their values at even integers are related to the $q$-Bernoulli and $q$ Euler's numbers introduced by Ismail and Mansour [Analysis and Applications, {\bf{17}}, 6, 2019, 853--895].

Comments: 24 pages, 2 figures
Categories: math.CA, math.NT
Subjects: 11B68, 33E99
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