$p$-adic multiple zeta values and binomial multiple harmonic sums

TL;DR

This paper introduces a new explicit formula for $p$-adic multiple zeta values using binomial multiple harmonic sums, providing a concise computational approach.

Contribution

The paper develops a novel explicit formula for $p$-adic multiple zeta values involving binomial multiple harmonic sums, advancing computational methods in the field.

Findings

Derived an explicit formula for $p$-adic multiple zeta values

Introduced binomial multiple harmonic sums as a key component

Simplified computation of $p$-adic multiple zeta values

Abstract

We present a concise method for deriving an explicit formula for $p$-adic multiple zeta values. The formula features a variant of multiple harmonic sums, termed binomial multiple harmonic sums.