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arXiv · 2007.10447

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

Ahmad El-Guindy·Zeinab Mansour
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Abstract

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].

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Ahmad El-Guindy, Zeinab Mansour. 2020-07-20. On $q$-analogs of zeta functions associated with a pair of $q$-analogs of Bernoulli numbers and polynomials. https://arxiv.org/abs/2007.10447

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