Integral representations of q-analogues of the Hurwitz zeta function
Number Theory
2012-12-07 v2
Abstract
Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of the q-analogue of the Hurwitz zeta function, and to study the classical limit of this q-analogue. All the discussion developed here is entirely different from the previous work in [4]
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Cite
@article{arxiv.math/0503120,
title = {Integral representations of q-analogues of the Hurwitz zeta function},
author = {Masato Wakayama and Yoshinori Yamasaki},
journal= {arXiv preprint arXiv:math/0503120},
year = {2012}
}
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14 pages