On the Rankin-Selberg problem in families
arXiv:2210.15095
Abstract
In this paper, we investigate the Rankin-Selberg problem over short intervals in families of holomorphic modular forms and Hecke-Maass cusp forms. Our investigation assumes a Lindelöf-on-average bound for holomorphic modular forms, and for Hecke-Maass cusp forms, we make no assumptions.
22 pages, incorporating referee's suggestions. The main results are improved