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arXiv · 2409.00765

Murmurations of Maass forms

Andrew R. Booker·Min Lee·David Lowry-Duda·Andrei Seymour-Howell·Nina Zubrilina
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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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Andrew R. Booker, Min Lee, David Lowry-Duda, Andrei Seymour-Howell, Nina Zubrilina. 2024-09-01. Murmurations of Maass forms. https://arxiv.org/abs/2409.00765

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