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On the Distribution of the Degrees of Prime Element Factors in Additive Arithmetical Semigroups
Authors:Richard Warlimont
Affiliation:Universit?t Regensburg, Germany, DE
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 ? (Received 25 August 1998; in revised form 7 June 1999)
Keywords:1991 Mathematics Subject Classification:   11N45   11T55, 40E05
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