Some remarks on factorization in algebraic number fields

DOI10.4064/aa-43-1-53-68zbMath0526.12006OpenAlexW1003678868MaRDI QIDQ3041307

Jerzy Kaczorowski

Publication date: 1983

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205890

zbMATH Keywords

Dirichlet seriesunique factorizationquantitative aspectsasymptotic expansion for arithmetical functionsfactorization length

Mathematics Subject Classification ID

Units and factorization (11R27) Asymptotic results on arithmetic functions (11N37)

Related Items (18)

Analytic monoids and factorization problems ⋮ Analytic and arithmetic theory of semigroups with divisor theory ⋮ Irreducible algebraic integers in short intervals ⋮ Oscillatory properties of arithmetical functions. II ⋮ Estimates for character sums in number fields ⋮ Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. (A quantitative result on factorizations of different length in algebraic number fields) ⋮ Unnamed Item ⋮ Economic hierarchical spatial systems -- new properties of Löschian numbers ⋮ Integers without divisors in a given progression ⋮ Type semigroups and factorization problems ⋮ Algebraic independence of logarithmic singularities of some complex functions ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Ω-estimates related to irreducible algebraic integers ⋮ Unnamed Item ⋮ The Hooley-Huxley contour method for problems in number fields. I: Arithmetic functions ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions.

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