The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909089911537664 |
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| author | Klinger-Logan, Kim Wong, Tian An |
| author_facet | Klinger-Logan, Kim Wong, Tian An |
| contents | We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on generalized Selberg-Kloosterman sums for discrete subgroups of $\PSL_2(\mathbb C)$ using Poincaré series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums Klinger-Logan, Kim Wong, Tian An Number Theory We show that the values of elliptic Dedekind sums, after normalization, are equidistributed mod 1. The key ingredient is a non-trivial bound on generalized Selberg-Kloosterman sums for discrete subgroups of $\PSL_2(\mathbb C)$ using Poincaré series. |
| title | The equidistribution of Elliptic Dedekind sums and generalized Selberg-Kloosterman sums |
| topic | Number Theory |
| url | https://arxiv.org/abs/2402.00165 |