An explicit upper bound for $L(1,\chi )$ when $\chi$ is quadratic

D. R. Johnston, O. Ramare, T. S. Trudgian

We consider Dirichlet $L$-functions $L(s,\chi )$ where $\chi$ is a non-principal quadratic character to the modulus $q$. We make explicit a result due to Pintz and Stephens by showing th…