Cyclic q-MZSV sum☆
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TL;DR: In this paper, a family of identities called cyclic sum formula and sum formula for a version of multiple q -zeta star values is presented, and a problem of q -generalization of shuffle products is discussed.
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About: This article is published in Journal of Number Theory. The article was published on 01 Jan 2012. and is currently open access. The article focuses on the topics: Generalization & Star (graph theory).
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Citations
Unfolding the double shuffle structure of q-multiple zeta values
TL;DR: In this article, the double q-shuffle structure for the qMZVs introduced by Y. Ohno, J. Okuda and W. Zudilin is presented.
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Unfolding the double shuffle structure of \$q\$-multiple zeta values
TL;DR: In this article, the double $q$ -shuffle structure for the MZVs introduced by Ohno et al. was shown and the double shuffle structure for MZSVs was analyzed.
23
Cyclotomic analogues of finite multiple zeta values
TL;DR: In this article, the authors introduce the notion of finite multiple harmonic q-series at a primitive root of unity and show that these specialize to the finite multiple zeta value (FMZV) and the symmetrized multiple zero value (SMZV), respectively.
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Cyclotomic analogues of finite multiple zeta values
TL;DR: In this article, the values of finite multiple harmonic series at a primitive root of unity of sufficiently large degree were studied, where the root is defined in terms of the degree of the series.
Duality and (q-)multiple zeta values
TL;DR: In this paper, a duality construction of the Schlesinger-Zudilin q-multiple zeta values is studied in the context of classical multiple-zeta values as well as various q-analogs of multiple-Zeta values.
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References
•Book
Basic Hypergeometric Series
George Gasper,Mizan Rahman +1 more
- 27 Apr 1990
TL;DR: In this article, the Askey-Wilson q-beta integral and some associated formulas were used to generate bilinear generating functions for basic orthogonal polynomials.
4.1K
An Introduction to Combinatorial Analysis.
N. J. Fine,John Riordan +1 more
TL;DR: The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press.This book introduces combinatorial analysis to the beginning student.
1.5K
Derivation and double shuffle relations for multiple zeta values
TL;DR: In this paper, extended double shuffle (EDS) relations for multiple zeta values (MZVs) are derived and derived algebraic structures of MZVs, as well as a linearized version of EDS relations are also studied.