Weighted sum formulas for finite alternating multiple zeta values with some parameters

TL;DR

This paper establishes a new sum formula involving four parameters for finite alternating multiple zeta values, extending Kamano's work on finite multiple zeta values to an alternating case.

Contribution

It introduces a novel four-parameter sum formula for finite alternating multiple zeta values, expanding the theoretical framework of multiple zeta value identities.

Findings

Derived a sum formula with four parameters for finite alternating multiple zeta values.

Extended Kamano's finite multiple zeta value results to the alternating case.

Provides new identities that could influence future research in multiple zeta values.

Abstract

We prove a sum formula with 4 parameters among finite alternating multiple zeta values which can be regarded as an alternating version of the result of Kamano on finite multiple zeta values.