Monatshefte für Mathematik

, Volume 129, Issue 1, pp 63–81 | Cite as

On the Distribution of the Degrees of Prime Element Factors in Additive Arithmetical Semigroups

  • Richard Warlimont


 Results of Arnold Knopfmacher about the distribution of the degrees of irreducible factors in the canonical decomposition of monic polynomials in ? q [X] are generalized to additive arithmetical semigroups (G,∂) satisfying a weak condition called axiom ?

1991 Mathematics Subject Classification: 11N45; 11T55, 40E05 
Key words: Additive arithmetical semigroups, asymptotics 


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Copyright information

© Springer-Verlag Wien 2000

Authors and Affiliations

  • Richard Warlimont
    • 1
  1. 1.Universität Regensburg, GermanyDE

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