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ANALOGUES OF THE AOKI–OHNO AND LE–MURAKAMI RELATIONS FOR FINITE MULTIPLE ZETA VALUES

Part of: Zeta and $L$-functions: analytic theory Sequences and sets

Published online by Cambridge University Press:  26 December 2018

MASANOBU KANEKO Open the ORCID record for MASANOBU KANEKO [Opens in a new window] ,
KOJIRO OYAMA Open the ORCID record for KOJIRO OYAMA [Opens in a new window]  and
SHINGO SAITO Open the ORCID record for SHINGO SAITO [Opens in a new window]
MASANOBU KANEKO*
Affiliation:
Faculty of Mathematics, Kyushu University, Motooka 744, Nishi-ku, Fukuoka, 819-0395, Japan email mkaneko@math.kyushu-u.ac.jp
KOJIRO OYAMA
Affiliation:
1-31-17, Chuo, Aomori-shi, Aomori, 030-0822, Japan email k-oyama@kyudai.jp
SHINGO SAITO
Affiliation:
Faculty of Arts and Science, Kyushu University, Motooka 744, Nishi-ku, Fukuoka, 819-0395, Japan email ssaito@artsci.kyushu-u.ac.jp
*
✉mkaneko@math.kyushu-u.ac.jp
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Abstract

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We establish finite analogues of the identities known as the Aoki–Ohno relation and the Le–Murakami relation in the theory of multiple zeta values. We use an explicit form of a generating series given by Aoki and Ohno.

Keywords

multiple zeta valuefinite multiple zeta valueAoki–Ohno relationLe–Murakami relation

MSC classification

Primary: 11M32: Multiple Dirichlet series and zeta functions and multizeta values
Secondary: 11B68: Bernoulli and Euler numbers and polynomials
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 100 , Issue 1 , August 2019 , pp. 34 - 40
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

This work was supported by JSPS KAKENHI Grant Numbers JP16H06336 and JP18K18712.

References

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