t-adic symmetric multiple zeta values for indices in which 1 and 3 appear alternately

2022/03/15 by Hirose, Minoru, Murahara, Hideki, Saito, Shingo
#11M32 (Primary) 05A19 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2203.07701

Abstract

We consider the symmetric multiple zeta values in S_m without modulo π² 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.

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