Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values
Number Theory
2020-06-23 v3
Abstract
Recently, a new kind of multiple zeta value level two (which is called multiple -values) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple -values, and study several duality formulas of weighted sum formulas about alternating multiple -values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple -values can also be obtained.
Keywords
Cite
@article{arxiv.2006.02967,
title = {Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values},
author = {Ce Xu},
journal= {arXiv preprint arXiv:2006.02967},
year = {2020}
}