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Triple product integrals and Rankin-Selberg L-functions

Published 19 Sep 2022 in math.NT | (2209.08913v2)

Abstract: We prove a reciprocity formula that relates a spectral average of products of triple product integrals involving automorphic forms of weights $0$ and $1/2$ to the classical Rankin-Selberg integrals for automorphic forms of weight $0$.

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