A factorization formula for class number two

DOI10.1006/jnth.1999.2426zbMath0937.11053OpenAlexW2056102605MaRDI QIDQ1961092

Natalie Rooney, Jeremy Herr, Scott Thomas Chapman

Publication date: 4 June 2000

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2426

zbMATH Keywords

class numberKrull monoidadditive monoid

Mathematics Subject Classification ID

Commutative semigroups (20M14) Class numbers, class groups, discriminants (11R29) Generalized primes and integers (11N80)

Related Items

So What Is Class Number 2?, Nonunique factorization and principalization in number fields

Cites Work

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• On the asymptotic behaviour of the number of distinct factorizations into irreducibles
• Monoids determined by a homogeneous linear Diophantine equation and the half-factorial property
• Factorization problems in class number two
• A Characterization of Algebraic Number Fields with Class Number Two
• Numbers with unique factorization in an algebraic number field
• Number fields