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

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Abstract.

 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 ?

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  1. Universität Regensburg, Germany, , , , , , DE

    Richard Warlimont

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  1. Richard Warlimont
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(Received 25 August 1998; in revised form 7 June 1999)

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Warlimont, R. On the Distribution of the Degrees of Prime Element Factors in Additive Arithmetical Semigroups. Mh Math 129, 63–81 (2000). https://doi.org/10.1007/PL00010085

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  • DOI: https://doi.org/10.1007/PL00010085

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