The density of the graph of elliptic Dedekind sums

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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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Bartell, Stephen, Halverson, Abby, Schlader, Brenden, Truex, Siena, Tian An Wong
Format: Article
Language:English
Subjects:
Algorithms
Fields (mathematics)
Number theory
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2406.17222