 Nonholomorphic Eisenstein series

ID: nonholomorphic-eisenstein-series

For

Re s > 1

G (τ, s) = \sum_{(m, n) \neq = (0, 0)} \frac{Im ( τ ) ^{s}}{∣ m τ + n ∣ ^{2 s}}

is an absolutely convergent modular-invariant function.

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