 Weight-k real-analytic Eisenstein series

ID: weight-k-real-analytic-eisenstein-series

For even

k

and

Re s > (2 - k) /2

E_{k, s} (τ) = \sum_{γ \in Γ_{\infty} \Γ (1)} Im (γ τ)^{s} j (γ, τ)^{- k} .

It is generally nonholomorphic and transforms with weight

k

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