Effective decorrelation of Hecke eigenforms

Bingrong Huang

Published 2022-01-29Version 1

In this paper, we prove effective quantitative decorrelation of values of two Hecke eigenforms as the weight goes to infinity. As consequences, we prove an effective version of equidistribution of mass and zeros of $f - c \cdot g$ for two Hecke eigenforms $f$ and $g$ of weight $k$ and any complex number $c$, as $k\rightarrow\infty$.