Euclidean fields having a large Lenstra constant

DOI10.5802/aif.1011zbMath0546.12005OpenAlexW1988550083MaRDI QIDQ798364

Armin Leutbecher

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_2_83_0

zbMATH Keywords

small discriminantdegree \(n=7,8,9\) and 10Euclidean number fieldsLenstra constantlower bounds of Odlyzkounit rank

Mathematics Subject Classification ID

Units and factorization (11R27) Other number fields (11R21) Iwasawa theory (11R23)

Related Items (8)

Polynomial-mappings and \(M\)-equivalence ⋮ HT90 and ``simplest number fields ⋮ Quadratic extensions of totally real quintic fields ⋮ Computing ray class groups, conductors and discriminants ⋮ Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results ⋮ Generalized Euclidean algorithms ⋮ A survey of computational class field theory ⋮ Non-primitive number fields of degree eight and of signature (2,3), (4,2), and (6,1) with small discriminant

Cites Work

• Valeurs minima du discriminant pour certains types de corps de degré 7
• Integral points on curves
• Euclidean number fields. I. II. III
• On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields
• Euclidean number fields of large degree
• Sur un type particulier d'unités algébriques
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