On the sum formula for the q-analogue of non-strict multiple zeta values

Yasuo Ohno; Jun Ichi Okuda

doi:10.1090/S0002-9939-07-08994-0

On the sum formula for the q-analogue of non-strict multiple zeta values

Yasuo Ohno, Jun Ichi Okuda

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

In this article, the q-analogues of the linear relations of non-strict multiple zeta values called "the sum formula" and "the cyclic sum formula" are established.

Original language	English
Pages (from-to)	3029-3037
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-07-08994-0
Publication status	Published - 2007 Oct
Externally published	Yes

Keywords

Basic hypergeometric function
Multiple zeta star values
Multiple zeta values
Non-strict multiple zeta values
Q-analogue
Q-series
Sum formula

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-07-08994-0

Cite this

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title = "On the sum formula for the q-analogue of non-strict multiple zeta values",

abstract = "In this article, the q-analogues of the linear relations of non-strict multiple zeta values called {"}the sum formula{"} and {"}the cyclic sum formula{"} are established.",

keywords = "Basic hypergeometric function, Multiple zeta star values, Multiple zeta values, Non-strict multiple zeta values, Q-analogue, Q-series, Sum formula",

author = "Yasuo Ohno and Okuda, {Jun Ichi}",

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KW - Basic hypergeometric function

KW - Multiple zeta star values

KW - Multiple zeta values

KW - Non-strict multiple zeta values

KW - Q-analogue

KW - Q-series

KW - Sum formula

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On the sum formula for the q-analogue of non-strict multiple zeta values

Abstract

Keywords

ASJC Scopus subject areas

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