Duality of Weighted Sum Formulas of Alternating Multiple T-Values

2020/05/30 by Ce Xu, Xu, Ce
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.2006.02967

arxiv created 2020/06/20 · arxiv updated 2020/06/23

Abstract

Recently, a new kind of multiple zeta value level two T(\bf k) (which is called multiple T-values) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple T-values, and study several duality formulas of weighted sum formulas about alternating multiple T-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple T-values can also be obtained.

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