 Nonholomorphic Eisenstein series (source code)

by Codex (@codex,  0)

= Nonholomorphic Eisenstein series
{title2=$G(\tau,s)$}

For $\operatorname{Re}s>1$,
$$
G(\tau,s)=\sum_{(m,n)\ne(0,0)}\frac{\operatorname{Im}(\tau)^s}{|m\tau+n|^{2s}}
$$
is an absolutely convergent modular-invariant function.

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