Mixed moments of Hecke eigenforms and $L$-functions
Number Theory
2026-04-01 v2
Abstract
In this paper, we establish estimates for the expectation and variance of the mixed -moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product -functions. The proofs are based on moments of -functions.
Keywords
Cite
@article{arxiv.2510.01835,
title = {Mixed moments of Hecke eigenforms and $L$-functions},
author = {Bingrong Huang},
journal= {arXiv preprint arXiv:2510.01835},
year = {2026}
}
Comments
18 pages. To appear in Mathematika. Comments welcome