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

Number Theory 2016-10-25 v2

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.

Keywords

Cite

@article{arxiv.1505.04174,
  title  = {Some examples in the theory of Beurling's generalized prime numbers},
  author = {Gregory Debruyne and Jan-Christoph Schlage-Puchta and Jasson Vindas},
  journal= {arXiv preprint arXiv:1505.04174},
  year   = {2016}
}

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26 pages