A Note on Finite Real Multiple Zeta Values

TL;DR

This paper establishes new theorems for finite real multiple zeta values, including symmetric, sum, and duality formulas, extending known results from finite multiple zeta values.

Contribution

It introduces three new theorems for finite real multiple zeta values, providing analogues to existing finite multiple zeta value formulas.

Findings

Proved the symmetric formula for finite real multiple zeta values.

Established the sum formula for finite real multiple zeta values.

Demonstrated the height-one duality theorem for finite real multiple zeta values.

Abstract

We prove three theorems on finite real multiple zeta values: the symmetric formula, the sum formula and the height-one duality theorem. These are analogues of their counterparts on finite multiple zeta values.