Relative norm of the fundamental unit of certain biquadratic fields and parity of the lengths of cycles of reduced ideals

DOI10.1016/0022-314X(92)90100-4zbMath0785.11052MaRDI QIDQ1201740

Stéphane R. Louboutin

Publication date: 17 January 1993

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

zbMATH Keywords

continued fraction expansionfundamental unitperiod lengthbiquadratic fieldcycles of reduced idealsrelative norm

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Cites Work

• Continued fractions and real quadratic fields
• Class group and fundamental unit of quadratic extensions over a principal imaginary quadratic field
• On the computation of units and class numbers by a generalization of Lagrange's algorithm
• The Computation of the Fundamental Unit of Totally Complex Quartic Orders
• Norme relative de l'unité fondamentale et 2-rang du groupe des classes d'idéaux de certains corps biquadratiques
• Groupes des classes d'idéaux triviaux
• Some results concerning the nearest integer continued fraction expansion of D.
• On the Computational Complexity of Determining the Solvability or Unsolvability of the Equation X 2 - DY 2 = -1
• A Computational Technique for Evaluating L(1, χ) and the Class Number of a Real Quadratic Field

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