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DERIVATION RELATION FOR FINITE MULTIPLE ZETA VALUES IN $\widehat{{\mathcal{A}}}$
Part of
- Zeta and $L$-functions: analytic theory
HIDEKI MURAHARA, TOMOKAZU ONOZUKA
Journal:

Journal of the Australian Mathematical Society / Volume 110 / Issue 2 / April 2021

Published online by Cambridge University Press:

08 January 2020, pp. 260-265

Print publication:

April 2021
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Ihara et al. proved the derivation relation for multiple zeta values. The first-named author obtained its counterpart for finite multiple zeta values in ${\mathcal{A}}$. In this paper, we present its generalization in $\widehat{{\mathcal{A}}}$.

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
HIDEKI MURAHARA, TAKUYA MURAKAMI
Journal:

Bulletin of the Australian Mathematical Society / Volume 101 / Issue 1 / February 2020

Published online by Cambridge University Press:

24 July 2019, pp. 23-34

Print publication:

February 2020
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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.