 Rankin–Selberg unfolding identity for a holomorphic Eisenstein series

ID: rankin-selberg-unfolding-identity-for-a-holomorphic-eisenstein-series

f

and

g

have respective weights

k

and

l

, and

r = k - l > 2

, unfolding the weight-

r

⟨ f, g G_{r} ⟩ = \frac{2 ζ ( r ) Γ ( k - 1 )}{( 4 π ) ^{k - 1}} L (f, g, k - 1) .

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