A generalization of Rademacher's reciprocity law

DOI10.4064/aa159-4-5zbMath1288.11042OpenAlexW2331715176MaRDI QIDQ2839289

Sandro Bettin

Publication date: 4 July 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa159-4-5

zbMATH Keywords

Riemann zeta-functionDedekind sumreciprocity formulaVasyunin sum

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Dedekind eta function, Dedekind sums (11F20)

Related Items (9)

Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions ⋮ The maximum of cotangent sums related to Estermann’s zeta function in rational numbers is short intervals ⋮ Unnamed Item ⋮ Cotangent Sums Related to the Riemann Hypothesis for Various Shifts of the Argument ⋮ On a Category of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis ⋮ The Maximum of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis ⋮ Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann hypothesis ⋮ Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums ⋮ On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals

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