 Character-twisted Eisenstein series (source code)

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= Character-twisted Eisenstein series
{title2=$G_k(\chi,z)$}

For $k>2$ and a <Dirichlet character> modulo $N$ with $\chi(-1)=(-1)^k$, define $G_k(\chi,z)=\sum_{m,n\in\mathbb Z,\ (n,N)=1}\chi(n)(mz+n)^{-k}$. This series converges absolutely and locally uniformly on the <complex upper half-plane> and has period $N$.

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