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arXiv · 2406.17222

The density of the graph of elliptic Dedekind sums

Stephen Bartell·Abby Halverson·Brenden Schlader·Siena Truex·Tian An Wong
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Abstract

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.

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Stephen Bartell, Abby Halverson, Brenden Schlader, Siena Truex, Tian An Wong. 2024-06-25. The density of the graph of elliptic Dedekind sums. https://doi.org/10.1007/s11139-024-00880-z

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