On the new identities of Dirichlet $L$-functions

Rong Ma, Jinglei Zhang, Yulong Zhang

Let $q\ge 3$ be an integer, $\chi$ be a Dirichlet character modulo $q$, and $L(s,\chi )$ denote the Dirichlet $L$-functions corresponding to $\chi$. In this paper, we show some special functi…