Multiple T-values with one parameter

2021/08/19 by Chapoton, Frédéric
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2108.08534

Abstract

This article introduces an algebra of functions in one variable c defined by iterated integrals of two specific differential forms depending on c, where the product is the shuffle product. This algebra can be seen as a common deformation of multiple zeta values and of Kaneko-Tsumura's recent multiple T-values. The first few graded dimensions, assuming that a grading by the weight does hold, are computed.

Related

• On a weighted sum of multiple T-values of fixed weight and depth
• Multiple T-values and iterated log-tangent integrals
• Multiple Zeta Values and Ideles
• Extended Shuffle Product for Multiple Zeta Values
• A new deformation of multiple zeta value