Murmurations of Maass forms
Number Theory
2024-09-04 v1
Abstract
We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between the parity and Hecke eigenvalues at primes growing in proportion to the analytic conductor).
Cite
@article{arxiv.2409.00765,
title = {Murmurations of Maass forms},
author = {Andrew R. Booker and Min Lee and David Lowry-Duda and Andrei Seymour-Howell and Nina Zubrilina},
journal= {arXiv preprint arXiv:2409.00765},
year = {2024}
}