Open Access
September 2015 On $q$-analogues of multiple zeta values
Johannes Singer
Funct. Approx. Comment. Math. 53(1): 135-165 (September 2015). DOI: 10.7169/facm/2015.53.1.8

Abstract

We study a $q$-analogue of multiple zeta values that was proposed by Zudilin and is closely related to that of Schlesinger. We explore the double $q$-shuffle structure and provide an Euler decomposition formula. Furthermore we compare our results with the classical multiple zeta values and the $q$-models of Ohno-Okuda-Zudilin and Bradley.

Citation

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Johannes Singer. "On $q$-analogues of multiple zeta values." Funct. Approx. Comment. Math. 53 (1) 135 - 165, September 2015. https://doi.org/10.7169/facm/2015.53.1.8

Information

Published: September 2015
First available in Project Euclid: 28 September 2015

zbMATH: 06862321
MathSciNet: MR3402775
Digital Object Identifier: 10.7169/facm/2015.53.1.8

Subjects:
Primary: 11M32

Keywords: $q$-analogues , double shuffle relation , Euler decomposition formula , multiple zeta values

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.53 • No. 1 • September 2015
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