Large deviations for values of $L$-functions attached to cusp forms in the level aspect
Number Theory
2024-10-16 v1 Probability
Abstract
We study the distribution of values of automorphic -functions in a family of holomorphic cusp forms with prime level. We prove an asymptotic formula for a certain density function closely related to this value-distribution. The formula is applied to estimate large values of -functions.
Cite
@article{arxiv.2105.05570,
title = {Large deviations for values of $L$-functions attached to cusp forms in the level aspect},
author = {Masahiro Mine},
journal= {arXiv preprint arXiv:2105.05570},
year = {2024}
}
Comments
36 pages