On the Rankin-Selberg problem in families
Number Theory
2023-04-05 v2
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 Lindel\"of-on-average bound for holomorphic modular forms, and for Hecke-Maass cusp forms, we make no assumptions.
Keywords
Cite
@article{arxiv.2210.15095,
title = {On the Rankin-Selberg problem in families},
author = {Jiseong Kim},
journal= {arXiv preprint arXiv:2210.15095},
year = {2023}
}
Comments
22 pages, incorporating referee's suggestions. The main results are improved