Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. (A quantitative result on factorizations of different length in algebraic number fields)

DOI10.1007/BF02571231zbMath0721.11041MaRDI QIDQ2640647

Alfred Geroldinger

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174165

zbMATH Keywords

asymptotic formularing of algebraic integerslength of factorizationfactorizations into irreducibles of distinct lengthsnumber of principal ideals

Mathematics Subject Classification ID

Units and factorization (11R27) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (6)

Systems of sets of lengths. ⋮ Unnamed Item ⋮ Weakly half-factorial sets in finite abelian groups ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Unnamed Item ⋮ On the maximal cardinality of half-factorial sets in cyclic groups

Cites Work

• Unnamed Item
• Unnamed Item
• On non-unique factorizations into irreducible elements
• Some remarks on factorization in algebraic number fields
• Finite abelian groups and factorization problems
• Remarks on factorizations in algebraic number fields
• On c-semigroups
• Half factorial domains
• Factorizations of distinct lengths in algebraic number fields
• On algebraic number fields with non-unique factorization

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