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Multitangent functions and symmetric multiple zeta values

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arxiv 2402.13902 v1 pith:Z262JNMX submitted 2024-02-21 math.NT

Minoru Hirose This is my paper · ORCID
classification math.NT
keywords multiplevalueszetafunctionsmultitangentsymmetricformulagive
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unity

    math.NT 2026-08 accept novelty 7.0 of 10

    A q-analogue of Hirose's relation is proved for finite multiple harmonic q-series at roots of unity, yielding the first proof of the HPHPT cyclic sum conjecture.

  2. An Explicit Expression for MZVs in Terms of Symmetric MZVs

    math.NT 2026-07 conditional novelty 4.0 of 10

    A simpler proof and explicit algorithm express multiple zeta values in terms of symmetric multiple zeta values and their products.

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