Effective decorrelation of Hecke eigenforms
Number Theory
2024-06-06 v2
Abstract
In this paper, we prove effective quantitative decorrelation of values of two Hecke eigenforms as the weight goes to infinity. As consequences, we get an effective version of equidistribution of mass and zeros of certain linear combinations of Hecke eigenforms.
Cite
@article{arxiv.2201.12481,
title = {Effective decorrelation of Hecke eigenforms},
author = {Bingrong Huang},
journal= {arXiv preprint arXiv:2201.12481},
year = {2024}
}
Comments
24 pages. To appear in Transactions of the American Mathematical Society. Comments welcome!