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December 2020 On multiple zeta values of level two
Masanobu Kaneko, Hirofumi Tsumura
Tsukuba J. Math. 44(2): 213-234 (December 2020). DOI: 10.21099/tkbjm/20204402213

Abstract

We study a variant of multiple zeta values of level 2, which forms a subspace of the space of alternating multiple zeta values. This variant, which is regarded as the ‘shuffle counterpart’ of Hoffman's ‘odd variant’, exhibits nice properties such as duality, shuffle product, parity results, etc., like ordinary multiple zeta values. We also give some conjectures on relations between our values, Hoffman's values, and multiple zeta values.

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Masanobu Kaneko. Hirofumi Tsumura. "On multiple zeta values of level two." Tsukuba J. Math. 44 (2) 213 - 234, December 2020. https://doi.org/10.21099/tkbjm/20204402213

Information

Published: December 2020
First available in Project Euclid: 12 April 2021

Digital Object Identifier: 10.21099/tkbjm/20204402213

Subjects:
Primary: 11M32
Secondary: 11M99

Keywords: inverse trigonometric functions , multiple zeta values , polylogarithms

Rights: Copyright © 2020 University of Tsukuba, Institute of Mathematics

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Vol.44 • No. 2 • December 2020
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