q-Analogues of the Riemann zeta, the Dirichlet L-functions, and a crystal zeta function

Kenichi Kawagoe, Masato Wakayama, Yoshinori Yamasaki

A q-analogue of the Riemann zeta function was studied in [Kaneko et al. 03] via a certain q-series of two variables. We introduce in a similar way a q-analogue of the Dirichlet L-f…