Effective decorrelation of Hecke eigenforms
arXiv:2201.12481 · doi:10.1090/tran/9215
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.
24 pages. To appear in Transactions of the American Mathematical Society. Comments welcome!