Triple product integrals and Rankin-Selberg L-functions
Number Theory
2025-02-05 v2
Abstract
We prove a reciprocity formula that relates a spectral average of products of triple product integrals involving automorphic forms of weights and to the classical Rankin-Selberg integrals for automorphic forms of weight .
Keywords
Cite
@article{arxiv.2209.08913,
title = {Triple product integrals and Rankin-Selberg L-functions},
author = {András Biró},
journal= {arXiv preprint arXiv:2209.08913},
year = {2025}
}
Comments
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