Continuous prime systems satisfying N(x)=c(x-1)+1

DOI10.33205/CMA.817761zbMath1499.11297arXiv2110.00995OpenAlexW4207028640MaRDI QIDQ5078973

Jan-Christoph Schlage-Puchta

Publication date: 25 May 2022

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00995

zbMATH Keywords

Riemann zeta functionBeurling primesexplicit formulaecontinuous prime systems

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Other functions defined by series and integrals (33E20) Evaluation of number-theoretic constants (11Y60) Inequalities in the complex plane (30A10) Generalized primes and integers (11N80)

Cites Work

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• Generalised prime systems with periodic integer counting function
• Gamma function asymptotics by an extension of the method of steepest descents

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