Explicit Upper Bounds for $|L(1,\chi )|$ when $\chi (3)=0$

Abstract

Let $\chi$ be a primitive Dirichlet character of conductor $q$ and $L(z,\chi )$ the associated L-series. In this paper we provide an explicit upper bound for $|L(1,\chi )|$ when 3 divides $q$.

11 pages, 2 figures. Submitted to Colloquium Mathematicum