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ON A GENERALISATION OF A RESTRICTED SUM FORMULA FOR MULTIPLE ZETA VALUES AND FINITE MULTIPLE ZETA VALUES

Part of: Zeta and $L$-functions: analytic theory Combinatorics

Published online by Cambridge University Press:  24 July 2019

HIDEKI MURAHARA Open the ORCID record for HIDEKI MURAHARA [Opens in a new window]  and
TAKUYA MURAKAMI Open the ORCID record for TAKUYA MURAKAMI [Opens in a new window]
HIDEKI MURAHARA*
Affiliation:
Nakamura Gakuen University, 5-7-1 Befu Jonan-ku Fukuoka-shi, Fukuoka, 814-0198, Japan email hmurahara@nakamura-u.ac.jp
TAKUYA MURAKAMI
Affiliation:
Graduate School of Mathematics, Kyushu University, 744 Motooka Fukuoka-shi Fukuoka, 819-0395, Japan email tak_mrkm@icloud.com
*
✉hmurahara@nakamura-u.ac.jp
Rights & Permissions [Opens in a new window]

Abstract

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We prove a new linear relation for multiple zeta values. This is a natural generalisation of the restricted sum formula proved by Eie, Liaw and Ong. We also present an analogous result for finite multiple zeta values.

Keywords

multiple zeta valuesfinite multiple zeta valuesOhno’s relationOhno-type relationderivation relation

MSC classification

Primary: 11M32: Multiple Dirichlet series and zeta functions and multizeta values
Secondary: 05A19: Combinatorial identities, bijective combinatorics
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 101 , Issue 1 , February 2020 , pp. 23 - 34
Copyright
© 2019 Australian Mathematical Publishing Association Inc. 

References

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