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arXiv · 2604.17077

The Limiting Distribution of Elliptic Dedekind Sums

Matteo Bordignon·Paolo Minelli
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Abstract

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.

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Matteo Bordignon, Paolo Minelli. 2026-04-18. The Limiting Distribution of Elliptic Dedekind Sums. https://arxiv.org/abs/2604.17077

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