Geodesic
A generalization of Rademacher's reciprocity law
Sandro Bettin1
1 School of Mathematics University of Bristol Queens Ave. Bristol, BS8 1SN, UK Current address: Centre de Recherches Mathématiques—Université de Montréal P.O. Box 6128, Centre-ville Station Montréal, Québec, H3C 3J7, Canada
Acta Arithmetica, Tome 159 (2013) no. 4, pp. 363-374.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa159-4-5
Keywords: generalize rademachers reciprocity formula dedekind sum family cotangent sums sums family strictly related vasyunin sum function defined rationals relevant nyman beurling ez duarte approach riemann hypothesis

Sandro Bettin 1

1 School of Mathematics University of Bristol Queens Ave. Bristol, BS8 1SN, UK Current address: Centre de Recherches Mathématiques—Université de Montréal P.O. Box 6128, Centre-ville Station Montréal, Québec, H3C 3J7, Canada 
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Sandro Bettin. A generalization of Rademacher's reciprocity law. Acta Arithmetica, Tome 159 (2013) no. 4, pp. 363-374. doi : 10.4064/aa159-4-5. http://geodesic.mathdoc.fr/articles/10.4064/aa159-4-5/

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