The density of the graph of elliptic Dedekind sums
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913403503640576 |
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| author | Bartell, Stephen Halverson, Abby Schlader, Brenden Truex, Siena Wong, Tian An |
| author_facet | Bartell, Stephen Halverson, Abby Schlader, Brenden Truex, Siena Wong, Tian An |
| contents | We show that the graph of normalized elliptic Dedekind sums is dense in its image for arbitrary imaginary quadratic fields, generalizing a result of Ito in the Euclidean case. We also derive some basic properties of Martin's continued fraction algorithm for arbitrary imaginary quadratic fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The density of the graph of elliptic Dedekind sums Bartell, Stephen Halverson, Abby Schlader, Brenden Truex, Siena Wong, Tian An Number Theory We show that the graph of normalized elliptic Dedekind sums is dense in its image for arbitrary imaginary quadratic fields, generalizing a result of Ito in the Euclidean case. We also derive some basic properties of Martin's continued fraction algorithm for arbitrary imaginary quadratic fields. |
| title | The density of the graph of elliptic Dedekind sums |
| topic | Number Theory |
| url | https://arxiv.org/abs/2406.17222 |