Displaying similar documents to “Exponential sums associated with the Dedekind zeta-functions.”

A generalization of Rademacher's reciprocity law

Sandro Bettin (2013)

Acta Arithmetica

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We generalize Rademacher's reciprocity formula for the Dedekind sum to a family of cotangent sums. One of the sums in this family is strictly related to the Vasyunin sum, a function defined on the rationals that is relevant to the Nyman-Beurling-Báez-Duarte approach to the Riemann hypothesis.