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Arithmetical semigroups I: direct factors

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Abstract

There are two main theorems due to P. Erdös et al. on direct factors of IN. They are concerned with the asymptotic density and the distribution of primes. The concept of a direct factor is carried over to arithmetical semigroups as they were introduced by J. Knopfmacher and the two corresponding main theorems are stated and proved.

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References

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Paderborn, 4790, Paderborn, F.R.G.

    K. -H. Indlekofer

  2. Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

    J. Knopfmacher

  3. NWF I-Mathematik, Universität Regensburg, 8400, Regensburg, F.R.G.

    R. Warlimont

Authors
  1. K. -H. Indlekofer
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  2. J. Knopfmacher
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  3. R. Warlimont
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Indlekofer, K.H., Knopfmacher, J. & Warlimont, R. Arithmetical semigroups I: direct factors. Manuscripta Math 71, 83–96 (1991). https://doi.org/10.1007/BF02568395

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  • DOI: https://doi.org/10.1007/BF02568395

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