Irreducible algebraic integers in short intervals

DOI10.1007/S00208-009-0354-4zbMath1233.11114OpenAlexW2064677895MaRDI QIDQ842305

Jerzy Kaczorowski

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.1007/s00208-009-0354-4

zbMATH Keywords

number fieldsfactorizationsshort intervalsunique factorization

Mathematics Subject Classification ID

Units and factorization (11R27) Zeta functions and (L)-functions of number fields (11R42) Density theorems (11R45) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (2)

A QUANTITATIVE ASPECT OF NON-UNIQUE FACTORIZATIONS: THE NARKIEWICZ CONSTANTS ⋮ A note on algebraic integers with prescribed factorization properties in short intervals

Cites Work

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• On the distribution of irreducible algebraic integers
• Topics in multiplicative number theory
• The Difference Between Consecutive Primes, II
• Ω-estimates related to irreducible algebraic integers
• Some remarks on factorization in algebraic number fields

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