Cubic fields, a congruential criterion for Scholz's theorem and new real quadratic fields with 3-rank equal to 4

DOI10.1007/BF01190231zbMath0642.12008MaRDI QIDQ1101506

Francisco Diaz y Diaz, Pascual Llorente, Jordi Quer

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

class numberquadratic fieldsdiscriminanttotally real cubic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Iwasawa theory (11R23)

Cites Work

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• New types of quadratic fields having three invariants divisible by 3
• On the 3-Sylow Subgroup of the Class Group of Quadratic Fields
• Class Groups of the Quadratic Fields Found by F. Diaz y Diaz
• On Some Families of Imaginary Quadratic Fields
• Über die Beziehung der Klassenzahlen quadratischer Körper zueinander.
• On the 3-Rank of Quadratic Fields and the Euler Product
• Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
• A quadratic field of prime discriminant requiring three generators for its class group, and related theory

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