Note on a conjecture of Bateman and diamond concerning the abstract PNT with Malliavin-type remainder

DOI10.1007/s00605-021-01593-xzbMath1494.11076arXiv2012.06220OpenAlexW3175319989WikidataQ113904909 ScholiaQ113904909MaRDI QIDQ2232811

Frederik Broucke

Publication date: 11 October 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.06220

zbMATH Keywords

Beurling generalized prime numbersDiamond-Montgomery-Vorhauer probabilistic methodBateman-Diamond conjecturePNT with Malliavin remainder

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Distribution of primes (11N05) Generalized primes and integers (11N80)

Related Items (1)

THE OPTIMAL MALLIAVIN-TYPE REMAINDER FOR BEURLING GENERALIZED INTEGERS

Cites Work

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• A set of generalized numbers showing Beurling's theorem to be sharp
• The prime number theorem for generalized primes
• Analyse de la loi asymptotique de la distribution des nombres premiers généralises
• Beurling Generalized Numbers

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