Large Sieve Inequalities for periods of Maass forms
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916349127688192 |
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| author | Lekkas, Dimitrios Voskou, Marios |
| author_facet | Lekkas, Dimitrios Voskou, Marios |
| contents | For $Γ$ a Fuchsian Group of the first kind, we obtain large sieve inequalities with weights the hyperbolic periods of Maass forms of even weight. This is inspired by work of Chamizo, who proved a large sieve inequality with weights values of Maass forms of weight $0$. The motivation is applications in counting problems in $Γ_1 \backslash Γ/ Γ_2$, where $Γ_1$, $Γ_2$ are hyperbolic subgroups of $Γ$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_01056 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large Sieve Inequalities for periods of Maass forms Lekkas, Dimitrios Voskou, Marios Number Theory 11F72, 11N35 (Primary), 44A15 (Secondary) For $Γ$ a Fuchsian Group of the first kind, we obtain large sieve inequalities with weights the hyperbolic periods of Maass forms of even weight. This is inspired by work of Chamizo, who proved a large sieve inequality with weights values of Maass forms of weight $0$. The motivation is applications in counting problems in $Γ_1 \backslash Γ/ Γ_2$, where $Γ_1$, $Γ_2$ are hyperbolic subgroups of $Γ$. |
| title | Large Sieve Inequalities for periods of Maass forms |
| topic | Number Theory 11F72, 11N35 (Primary), 44A15 (Secondary) |
| url | https://arxiv.org/abs/2405.01056 |