Murmurations of Maass forms

Published 1 Sep 2024 in math.NT | (2409.00765v1)

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).

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