Bull. Korean Math. Soc. 2021; 58(5): 1261-1278
Online first article August 26, 2021 Printed September 30, 2021
https://doi.org/10.4134/BKMS.b200933
Copyright © The Korean Mathematical Society.
Ce Xu
Anhui Normal University
Recently, a new kind of multiple zeta value of level two $T({\bf k})$ (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
MSC numbers: Primary 11M99, 11M06, 11M32
Supported by: The author is supported by the Scientific Research Foundation for Scholars of Anhui Normal University and the University Natural Science Research Project of Anhui Province (Grant No. KJ2020A0057).
2014; 51(5): 1411-1423
1995; 32(2): 251-257
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd