A generalization of Rademacher's reciprocity law
Sandro Bettin
Acta Arithmetica, Tome 161 (2013), p. 363-374 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279335 
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     title = {A generalization of Rademacher's reciprocity law},
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     year = {2013},
     pages = {363-374},
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     language = {en},
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Sandro Bettin. A generalization of Rademacher's reciprocity law. Acta Arithmetica, Tome 161 (2013) pp. 363-374. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa159-4-5/