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Some examples in the theory of Beurling’s generalized prime numbers

Volume 176 / 2016

Gregory Debruyne, Jan-Christoph Schlage-Puchta, Jasson Vindas Acta Arithmetica 176 (2016), 101-129 MSC: Primary 11N80; Secondary 11N05, 11M41, 11M45. DOI: 10.4064/aa8168-7-2016 Published online: 10 October 2016

Abstract

Several examples of generalized number systems are constructed to compare various conditions occurring in the literature for the prime number theorem in the context of Beurling generalized primes.

Authors

  • Gregory DebruyneDepartment of Mathematics
    Ghent University
    Krijgslaan 281 Gebouw S22
    B 9000 Gent, Belgium
    e-mail
  • Jan-Christoph Schlage-PuchtaInstitut für Mathematik
    Universität Rostock
    18051 Rostock, Germany
    e-mail
  • Jasson VindasDepartment of Mathematics
    Ghent University
    Krijgslaan 281 Gebouw S22
    B 9000 Gent, Belgium
    e-mail

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