Generating functions of multiple $t$-star values of general level

Zhonghua Li, Lu Yan

Published 2023-05-23Version 1

In this paper, we study the explicit expressions of multiple $t$-star values of general level. We represent the generating functions of multiple $t$-star values of level $N$ with an arbitrary number of blocks of twos, which generalize the results for multiple zeta-star values and multiple $t$-star values. These generating functions can provide a formula of multiple $t$-star values of level $N$. As applications, some evaluations of multiple $t$-star values of level $N$ with one-two-three or more general indices are given.