On multiple zeta values of level two

By Masanobu Kaneko, Hirofumi Tsumura. 2020

47 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/2657717a73536892089c7a3d0b9fb1c304fc3ce5