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arXiv:1903.04140 [math.NT]AbstractReferencesReviewsResources

$\mathbb{Q}$-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation

Minoru Hirose, Hideki Murahara, Tomokazu Onozuka

Published 2019-03-11Version 1

In this paper, we study specific families of multiple zeta values which closely relate to the linear part of Kawashima's relation. We obtain an explicit basis of these families, and investigate their interpolations to complex functions. As a corollary of our main results, we also see that the duality formula and the derivation relation are deduced from the linear part of Kawashima's relation.

Categories: math.NT
Subjects: 11M32
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