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Mean values of Dedekind sums

1994/10/01 by J. Brian Conrey, Eric Fransen, Conrey, J. Brian +6
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/9410212

arxiv created 1994/10/01 · openalex publication_date 1994/10/01 · arxiv updated 2016/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a positive integer k and an arbitrary integer h, the Dedekind sum s(h,k) was first studied by Dedekind because of the prominent role it plays in the transformation theory of the Dedekind eta-function, which is a modular form of weight 1/2 for the full modular group SL2(Z). There is an extensive literature about the Dedekind sums. Rademacher [8] has written an introductory book on the subject.

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