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Fast Computation of Generalized Dedekind Sums

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arxiv 2210.01172 v1 pith:2ODQRDU5 submitted 2022-10-03 math.NT

Fast Computation of Generalized Dedekind Sums

classification math.NT
keywords dedekindgeneralizedsumsalgorithmcomplexitycomputationcomputingconstruct
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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