Arithmetical semigroups. I: Direct factors

DOI10.1007/BF02568395zbMath0723.11048MaRDI QIDQ757471

Richard Warlimont, Karl-Heinz Indlekofer, John Knopfmacher

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/155606

zbMATH Keywords

axiom \(A^{\#}\)direct factors of commutative additive arithmetical semigroupsdirect factors of the set \({\mathbb{N}}\) of positive integers

Mathematics Subject Classification ID

Generalized primes and integers (11N80)

Related Items

JOHN KNOPFMACHER, [ABSTRACT ANALYTIC NUMBER THEORY, AND THE THEORY OF ARITHMETICAL FUNCTIONS] ⋮ DISTRIBUTION OF MULTIPLICATIVE FUNCTIONS DEFINED ON SEMIGROUPS ⋮ Arithmetical semigroups. III: Elements with prime factors in residue classes ⋮ Distinct degree factorizations in additive arithmetical semigroups ⋮ Arithmetical semigroups. II: Sieving by large and small prime elements. Sets of multiples ⋮ Arithmetical semigroups. V: Multiplicative functions

Cites Work

• On a certain class of infinite products with an application to arithmetical semigroups
• On the Asymptotic Density of Sets of Integers. II
• On the Density of Direct Factors of the Set of Positive Integers
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