L-function (source code)

= L-function
{c}
{title2=$L(s)$}

An L-function is an arithmetic function given initially by a <Dirichlet series> and often an <Euler product>, with analytic continuation and a functional equation in important cases. <Dirichlet L-functions> and <L-functions of cusp forms> are basic examples; <p-adic L-functions> interpolate suitably modified special values.