On a weighted sum of multiple T-values of fixed weight and depth
Number Theory
2020-12-22 v1 Classical Analysis and ODEs
Abstract
The multiple T-value, which is a variant of multiple zeta value of level two, is introduced by Kaneko and Tsumura. We show that the generating function of a weighted sum of the multiple T-values of fixed weight and depth is given in terms of the multiple T-values of depth one by solving a differential equation of Heun type.
Keywords
Cite
@article{arxiv.2012.11063,
title = {On a weighted sum of multiple T-values of fixed weight and depth},
author = {Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:2012.11063},
year = {2020}
}
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7 pages