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Some examples in the theory of Beurling’s generalized prime numbers
Gregory Debruyne 1   ; Jan-Christoph Schlage-Puchta 2   ; Jasson Vindas 1
1 Department of Mathematics Ghent University Krijgslaan 281 Gebouw S22 B 9000 Gent, Belgium
2 Institut für Mathematik Universität Rostock 18051 Rostock, Germany
Acta Arithmetica, Tome 176 (2016) no. 2, pp. 101-129 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa8168-7-2016
Keywords: several examples generalized number systems constructed compare various conditions occurring literature prime number theorem context beurling generalized primes

Gregory Debruyne  1   ; Jan-Christoph Schlage-Puchta  2   ; Jasson Vindas  1

1 Department of Mathematics Ghent University Krijgslaan 281 Gebouw S22 B 9000 Gent, Belgium
2 Institut für Mathematik Universität Rostock 18051 Rostock, Germany 
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     title = {Some examples in the theory of {Beurling{\textquoteright}s} generalized prime numbers},
     journal = {Acta Arithmetica},
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Gregory Debruyne; Jan-Christoph Schlage-Puchta; Jasson Vindas. Some examples in the theory of Beurling’s generalized prime numbers. Acta Arithmetica, Tome 176 (2016) no. 2, pp. 101-129. doi: 10.4064/aa8168-7-2016

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