A generalization of Rademacher's reciprocity law

• Autorzy: Sandro Bettin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions
• 11F20: Dedekind eta function, Dedekind sums

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 159
• Numer: 4
• Strony: 363-374

Daty

wydano

2013

Twórcy

autor

Sandro Bettin

• 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

Identyfikatory

DOI

10.4064/aa159-4-5