TWO PROBLEMS CONCERNING IRREDUCIBLE ELEMENTS IN RINGS OF INTEGERS OF NUMBER FIELDS

DOI10.1017/S0004972716001325zbMath1376.11074arXiv1610.08410OpenAlexW2546194833MaRDI QIDQ4975592

Paul Pollack, Lee Troupe

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08410

zbMATH Keywords

number fieldsDavenport constantirreducible elementsray class

Mathematics Subject Classification ID

Units and factorization (11R27) Asymptotic results on arithmetic functions (11N37) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Cites Work

• Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
• An elemental Erdős–Kac theorem for algebraic number fields
• Étude asymptotique de certaines partitions dans certains semi-groupes
• Class field theory
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