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Mean values of Dedekind sums

J. Brian Conrey·Eric Fransen·Robert Klein·Clayton Scott
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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 SL_2(Z). There is an extensive literature about the Dedekind sums. Rademacher [8] has written an introductory book on the subject.

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J. Brian Conrey, Eric Fransen, Robert Klein, Clayton Scott. 1994-10-01. Mean values of Dedekind sums. https://arxiv.org/abs/math/9410212

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