EXAMPLES OF NORM-EUCLIDEAN IDEAL CLASSES

DOI10.1142/S1793042112500777zbMath1290.11159OpenAlexW1992520655MaRDI QIDQ2909037

Pierre Lezowski

Publication date: 29 August 2012

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

Full work available at URL: https://doi.org/10.1142/s1793042112500777

zbMATH Keywords

pure cubic fieldsEuclidean minimumEuclidean ideal classes

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Euclidean rings and generalizations (13F07)

Related Items (3)

On the finiteness of $\mathfrak{P}$-adic continued fractions for number fields ⋮ Non-principal Euclidean ideal class in a family of biquadratic fields with the class number two ⋮ Two classes of number fields with a non-principal Euclidean ideal

Cites Work

• On finiteness of the numbers of Euclidean fields in some classes of number fields
• A rational genus, class number divisibility, and unit theory for pure cubic fields
• $\mathbb{Q}(\sqrt{2}, \sqrt{35})$ HAS A NON-PRINCIPAL EUCLIDEAN IDEAL
• Euclidean minima of totally real number fields: Algorithmic determination

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