Multitangent functions and symmetric multiple zeta values

Minoru Hirose

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arXiv · 2402.13902

Multitangent functions and symmetric multiple zeta values

Minoru Hirose

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Abstract

In this paper, we give a formula that connects two variants of multiple zeta values; multitangent functions and symmetric multiple zeta values. As an application of this formula, we give two results. First, we prove Bouillot's conjecture on the structures of the algebra of multitangent functions. Second, we prove an analogue of the linear part of Kawashima's relation for symmetric multiple zeta values.

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Minoru Hirose. 2024-02-21. Multitangent functions and symmetric multiple zeta values. https://arxiv.org/abs/2402.13902

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