Mixed moments of Hecke eigenforms and $L$-functions
Bingrong Huang
公開日: 2025/10/2
Abstract
In this paper, we establish estimates for the expectation and variance of the mixed $(2,2)$-moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product $L$-functions. The proofs are based on moments of $L$-functions.