A note on the algebra of p-adic multi-zeta values

TL;DR

This paper demonstrates that the algebra of p-adic multi-zeta values is contained within a larger explicitly defined algebra based on series, advancing understanding of their algebraic structure.

Contribution

It introduces an explicit algebraic framework that encompasses p-adic multi-zeta values, providing new insights into their algebraic properties.

Findings

p-adic multi-zeta values are contained in a larger algebra

The larger algebra is explicitly defined via series

This inclusion clarifies the algebraic structure of p-adic multi-zeta values

Abstract

We prove that the algebra of p-adic multi-zeta values are contained in another algebra which is defined explicitly in terms of series.