Alternating double t-values and T-values

Advances in Difference Equations

Junjie Quan¹ 

[1] School of Information Science and Technology, Xiamen University Tan Kah Kee College;

关键词: Multiple zeta values;    Multiple t-values;    Multiple T-values;    Odd harmonic numbers;    Contour integration;   

DOI  :  10.1186/s13662-020-02917-1

来源: DOAJ

【 摘 要 】

Abstract Recently, Hoffman (Commun. Number Theory Phys. 13:529–567, 2019), Kaneko and Tsumura (Tsukuba J. Math. (in press), 2020) introduced and systematically studied two variants of multiple zeta values of level two, i.e., multiple t-values and multiple T-values, respectively. In this paper, by the contour integration and residue theorem, we establish two general identities, which further reduce to the expressions of the alternating double t-values and T-values. Some examples are also provided.

【 授权许可】

Unknown