Quantitative aspects of non-unique factorization: A general theory with applications to algebraic function fields.

DOI10.1515/crll.1991.421.159zbMath0736.11064OpenAlexW1725675109MaRDI QIDQ3981562

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Publication date: 26 June 1992

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002209004

zbMATH Keywords

asymptotic behaviourDirichlet seriesDedekind domainnumber of elementsnon-unique factorizationformationquantitative resultsHilbert semigroupsholomorphy rings in algebraic function fieldsrings of integers in algebraic number fields

Mathematics Subject Classification ID

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

Related Items (5)

Analytic and arithmetic theory of semigroups with divisor theory ⋮ T-block monoids and their arithmetical applications to certain integral domains ⋮ Type semigroups and factorization problems ⋮ Unnamed Item ⋮ Der Čebotarev'sche Dichtigkeitssatz und ein Analogon zum Dirichlet'schen Primzahlsatz für algebraische Funktionenkörper. (Chebotarev's density theorem and an anlogue to Dirichlet's theorem on primes for algebraic function fields )

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