Murmurations of Maass forms
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910586230538240 |
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| author | Booker, Andrew R. Lee, Min Lowry-Duda, David Seymour-Howell, Andrei Zubrilina, Nina |
| author_facet | Booker, Andrew R. Lee, Min Lowry-Duda, David Seymour-Howell, Andrei Zubrilina, Nina |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_00765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Murmurations of Maass forms Booker, Andrew R. Lee, Min Lowry-Duda, David Seymour-Howell, Andrei Zubrilina, Nina Number Theory 11F30 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). |
| title | Murmurations of Maass forms |
| topic | Number Theory 11F30 |
| url | https://arxiv.org/abs/2409.00765 |