On a lifting of $t$-adic symmetric multiple zeta values
Number Theory
2023-11-02 v1
Abstract
The -adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduce a further generalization with a new parameter , which we call the -adic symmetric multiple zeta value. Then, the -adic version of the -adic double shuffle relations, duality and cyclic sum formula are established. A finite counterpart of the -adic symmetric multiple zeta value is also discussed.
Keywords
Cite
@article{arxiv.2311.00473,
title = {On a lifting of $t$-adic symmetric multiple zeta values},
author = {Minoru Hirose and Hanamichi Kawamura},
journal= {arXiv preprint arXiv:2311.00473},
year = {2023}
}