Dirichlet L-function (source code)

= Dirichlet L-function
{c}
{title2=$L(s,\chi)$}
{wiki}

For $\operatorname{Re}s>1$,
$$
L(s,\chi)=\sum_{n\geq1}\frac{\chi(n)}{n^s}
=\prod_p(1-\chi(p)p^{-s})^{-1}.
$$