Open Access
December 2006 On $q$-Analogues of the Barnes Multiple Zeta Functions
Yoshinori YAMASAKI
Tokyo J. Math. 29(2): 413-427 (December 2006). DOI: 10.3836/tjm/1170348176

Abstract

In this paper, we introduce $q$-analogues of the Barnes multiple zeta functions. We show that these functions can be extended meromorphically to the whole plane, and moreover, tend to the Barnes multiple zeta functions when $q \uparrow 1$ for all complex numbers.

Citation

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Yoshinori YAMASAKI. "On $q$-Analogues of the Barnes Multiple Zeta Functions." Tokyo J. Math. 29 (2) 413 - 427, December 2006. https://doi.org/10.3836/tjm/1170348176

Information

Published: December 2006
First available in Project Euclid: 1 February 2007

zbMATH: 1192.11060
MathSciNet: MR2284981
Digital Object Identifier: 10.3836/tjm/1170348176

Subjects:
Primary: 11M41
Secondary: 11M35

Rights: Copyright © 2006 Publication Committee for the Tokyo Journal of Mathematics

Vol.29 • No. 2 • December 2006
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