PRINCIPAL FACTORS AND LATTICE MINIMA IN CUBIC FIELDS

DOI10.2206/kyushujm.76.101zbMath1505.11140arXiv1907.12158OpenAlexW4225894114MaRDI QIDQ5083824

Moulay Chrif Ismaili, Daniel C. Mayer, Abdelmalek Azizi, S. Aouissi, Mohammed Talbi

Publication date: 21 June 2022

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12158

zbMATH Keywords

Voronoi's algorithm3-rankpure cubic fieldchain of lattice minimaprimitive ambiguous principal idealsprincipal factorization type

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

Structure of relative genus fields of cubic Kummer extensions

Cites Work

• On 3-class groups of cyclic cubic extensions of certain number fields
• 3-rank of ambiguous class groups of cubic Kummer extensions
• A rational genus, class number divisibility, and unit theory for pure cubic fields
• Remarks on principal factors in a relative cubic field
• Improving the Speed of Calculating the Regulator of Certain Pure Cubic Fields
• Some Results Concerning Voronoi's Continued Fraction Over (√[3D)]
• Determination of Principal Factors in (√D) and (√[3D)]
• On 3-class groups of pure cubic fields.

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