$t$-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately
Volume 216 / 2024
Acta Arithmetica 216 (2024), 249-275
MSC: Primary 11M32; Secondary 05A19
DOI: 10.4064/aa231109-9-7
Published online: 10 October 2024
Abstract
This paper deals with the $t$-adic symmetric multiple zeta values modulo $t^m$ without modulo $\pi^2$ reduction for indices in which $1$ and $3$ appear alternately. We investigate those values that can be expressed as a polynomial of the Riemann zeta values, and give a conjecturally complete list of explicit formulas for such values.
