Sum formula for finite multiple zeta values

TL;DR

This paper proves a conjecture that the sum formula, a key relation among multiple zeta values, also applies to finite multiple zeta values, extending known mathematical relations to a finite setting.

Contribution

It establishes that the sum formula holds for finite multiple zeta values, confirming a conjecture and expanding the understanding of these values.

Findings

Sum formula holds for finite multiple zeta values

Confirms Kaneko's conjecture

Extends classical relations to finite case

Abstract

The sum formula is one of the most well-known relations among multiple zeta values. This paper proves a conjecture of Kaneko predicting that an analogous formula holds for finite multiple zeta values.