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http://dx.doi.org/10.4134/BKMS.b200933

DUALITY OF WEIGHTED SUM FORMULAS OF ALTERNATING MULTIPLE T-VALUES  

Xu, Ce (School of Mathematics and Statistics Anhui Normal University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.5, 2021 , pp. 1261-1278 More about this Journal
Abstract
Recently, a new kind of multiple zeta value of level two T(k) (which is called multiple T-value) 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.
Keywords
Kaneko-Tsumura multiple T-values; alternating multiple T-values; weighted sum formulas; duality;
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