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Fast Computation of Generalized Dedekind Sums

2022/10/03 by Preston Tranbarger, Jessica Wang, Tranbarger, Preston +1 · 1 citation
Computer Science · Mathematics · #11F20 #Computability, Logic, AI Algorithms #FOS: Mathematics #History and Theory of Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2210.01172

openalex publication_date 2022/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct an algorithm that reduces the complexity for computing generalized Dedekind sums from exponential to polynomial time. We do so by using an efficient word rewriting process in group theory.

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