Weighted sum formulas of multiple t-values with even arguments

TL;DR

This paper investigates weighted sum formulas for multiple t-values and t-star values at even arguments, providing general formulas with symmetric polynomial weights to advance understanding of their algebraic structure.

Contribution

It introduces general weighted sum formulas for multiple t-values and t-star values at even arguments using symmetric polynomial weights, expanding the theoretical framework.

Findings

Derived general weighted sum formulas

Established relations involving symmetric polynomial weights

Enhanced understanding of multiple t-value structures

Abstract

In this paper, we study the weighted sums of multiple t-values and of multiple t-star values at even arguments. Some general weighted sum formulas are given, where the weight coefficients are given by (symmetric) polynomials of the arguments.