Distinct degree factorizations in additive arithmetical semigroups

DOI10.1007/BF02570488zbMath0848.11045WikidataQ114233799 ScholiaQ114233799MaRDI QIDQ1903528

Arnold Knopfmacher, Richard Warlimont

Publication date: 28 October 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156101

zbMATH Keywords

additive arithmetical semigroupsprobability of a given factorization patternsemigroup of monic polynomials over finite fields

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Polynomials over finite fields (11T06) Generalized primes and integers (11N80)

Related Items

Summation of values of multiplicative functions on semigroups

Cites Work

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• Arithmetical semigroups. I: Direct factors
• Arithmetical semigroups. III: Elements with prime factors in residue classes
• Distinct Degree Factorizations for Polynomials over a Finite Field