The Limiting Distribution of Elliptic Dedekind Sums
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910143692668928 |
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| author | Bordignon, Matteo Minelli, Paolo |
| author_facet | Bordignon, Matteo Minelli, Paolo |
| contents | We consider elliptic Dedekind sums that were introduced by Sczech as generalizations of the classical ones to complex lattices. We prove that these sums -- suitably normalized -- have a Gaussian limiting distribution. As an application, we prove a conjecture due to Ito. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17077 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Limiting Distribution of Elliptic Dedekind Sums Bordignon, Matteo Minelli, Paolo Number Theory Primary 11F20, 11J70, Secondary 37C30, 60F05 We consider elliptic Dedekind sums that were introduced by Sczech as generalizations of the classical ones to complex lattices. We prove that these sums -- suitably normalized -- have a Gaussian limiting distribution. As an application, we prove a conjecture due to Ito. |
| title | The Limiting Distribution of Elliptic Dedekind Sums |
| topic | Number Theory Primary 11F20, 11J70, Secondary 37C30, 60F05 |
| url | https://arxiv.org/abs/2604.17077 |