Triple product integrals and Rankin-Selberg L-functions

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 $0$.

Polished version, a discussion of the main result and a preliminary section on special functions are included. Results unchanged. The paper will be published in Functiones et Approximatio

References in corpus (2)

• Subconvex equidistribution of cusp forms: reduction to Eisenstein observables
• On the fourth moment of Hecke Maass forms and the Random Wave Conjecture

Cited by in corpus (2)

• Strong Hybrid Subconvexity for Twisted Selfdual ${\mathrm{GL}}_3$ $L$-Functions
• Spectral Moment Formulae for $GL(3)\times GL(2)$ $L$-functions II: The Eisenstein Case