The Maximum of Cotangent Sums Related to the Nyman-Beurling Criterion for the Riemann Hypothesis

DOI10.1007/978-3-030-37904-9_7zbMath1446.11167OpenAlexW3012550499MaRDI QIDQ3296682

Helmut Maier, Michael Th. Rassias, Andrei M. Raigorodskii

Publication date: 1 July 2020

Published in: Trigonometric Sums and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-37904-9_7

zbMATH Keywords

Riemann zeta functionRiemann hypothesiscotangent sumsEstermann zeta functionNyman-Beurling criterion

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Trigonometric and exponential sums (general theory) (11L03)

Related Items

On the maximum of cotangent sums related to the Riemann hypothesis in rational numbers in short intervals

Cites Work

• The rate of growth of moments of certain cotangent sums
• Period functions and cotangent sums
• The order of magnitude for moments for certain cotangent sums
• A generalization of Rademacher's reciprocity law
• On the Distribution of a Cotangent Sum: Fig. 1.
• Sur certaines sommes d'exponentielles sur les nombres premiers
• The value of the Estermann zeta functions at s=0
• The maximum of cotangent sums related to Estermann’s zeta function in rational numbers is short intervals
• Asymptotics for moments of certain cotangent sums
• Generalizations of a cotangent sum associated to the Estermann zeta function
• Unnamed Item