A PNT equivalence for Beurling numbers

DOI10.7169/facm/2012.46.2.7zbMath1318.11124OpenAlexW2030860563MaRDI QIDQ449610

Harold G. Diamond, Wen-Bin Zhang

Publication date: 31 August 2012

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1340628404

zbMATH Keywords

prime number theoremBeurling generalized numbersequivalent relationssharp Mertens formula

Mathematics Subject Classification ID

Generalized primes and integers (11N80)

Related Items (7)

On PNT equivalences for Beurling numbers ⋮ PRIME NUMBER THEOREM EQUIVALENCES AND NON‐EQUIVALENCES ⋮ Completely multiplicative functions with sum zero over generalised prime systems ⋮ Explicit estimates on several summatory functions involving the Moebius function ⋮ Explicit average orders: news and problems ⋮ Unnamed Item ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior

Cites Work

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• Asymptotic distribution of Beurling's generalized integers
• Analyse de la loi asymptotique de la distribution des nombres premiers généralises

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