ON THE MINIMUM ABSOLUTE VALUE OF THE DISCRIMINANT OF ABELIAN FIELDS OF DEGREE p2

DOI10.1142/S0219498810004257zbMath1253.11102MaRDI QIDQ3056462

J. Carmelo Interlando, José Othon Dantas Lopes, Trajano Pires da Nóbrega Neto, André Luiz Flores

Publication date: 12 November 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cyclotomic fieldsabelian fieldsdiscriminants

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Related Items (1)

Constructions of rotated lattice constellations in dimensions power of 3

Cites Work

• Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields)
• A note on the least prime in an arithmetic progression
• The minimum discriminant of totally real octic fields
• THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
• Non-primitive number fields of degree eight and of signature (2,3), (4,2), and (6,1) with small discriminant
• Tables of octic fields with a quartic subfield
• Enumeration of Totally Real Number Fields of Bounded Root Discriminant
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

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