Rankin–Selberg convolution (source code)

= Rankin–Selberg convolution
{c}
{title2=$L(f,g,s)$}

For cusp forms $f=\sum a_nq^n$ and $g=\sum b_nq^n$, their Rankin–Selberg convolution in the elementary normalization is $L(f,g,s)=\sum_{n\geq1}a_n\overline{b_n}n^{-s}$.