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arXiv:2409.00765 [math.NT]AbstractReferencesReviewsResources

Murmurations of Maass forms

Andrew R. Booker, Min Lee, David Lowry-Duda, Andrei Seymour-Howell, Nina Zubrilina

Published 2024-09-01Version 1

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).

Categories: math.NT
Subjects: 11F30
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