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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椭圆戴德金和图的密度
我们证明,对于任意虚二次域,归一化椭圆 Dedekind 和的图在其图像中是密集的,这推广了伊藤在欧几里得情况下的一个结果。我们还推导了任意虚二次域的马丁续分算法的一些基本性质。
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