A new generalized prime random approximation procedure and some of its applications

DOI10.1007/S00209-024-03526-4MaRDI QIDQ6581841

Frederik Broucke, J. Vindas

Publication date: 1 August 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

discrete random approximationBeurling integers with large oscillationDiamond-Montgomery-Vorhauer-Zhang probabilistic methodDirichlet series with a unique zero in half plane of convergenceRiemann hypothesis for Beurling numberswell-behaved Beurling primes and integers

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Generalized primes and integers (11N80)

Cites Work

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• Well-behaved Beurling primes and integers
• Beurling primes with large oscillation
• Beurling zeta functions, generalised primes, and fractal membranes
• Beurling primes with RH and Beurling primes with large oscillation
• Neuer Beweis des Primzahlsatzes und Beweis des Primidealsatzes.
• Beurling integers with RH and large oscillation
• Completely multiplicative functions with sum zero over generalised prime systems
• Analyse de la loi asymptotique de la distribution des nombres premiers généralises
• Beurling generalized numbers
• The average order of the Möbius function for Beurling primes

Related Items (1)

Some examples of well-behaved Beurling number systems

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