On the Resolution of Index Form Equations in Dihedral Quartic Number Fields

DOI10.1080/10586458.1994.10504293zbMath0823.11074OpenAlexW2085111609MaRDI QIDQ4836631

István Gaál, Michael E. Pohst, Attila Pethoe

Publication date: 21 June 1995

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1048515874

zbMATH Keywords

index form equationquartic fieldssecond-order linear recurrence sequence

Mathematics Subject Classification ID

Recurrences (11B37) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16) Diophantine equations in many variables (11D72)

Related Items (2)

Computing all power integral bases in orders of totally real cyclic sextic number fields ⋮ Computing all monogeneous mixed dihedral quartic extensions of a quadratic field

Cites Work

• Unnamed Item
• On the resolution of index form equations in biquadratic number fields. I
• On the resolution of index form equations in biquadratic number fields. II
• Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern
• On the resolution of index form equations in biquadratic number fields. III: The bicyclic biquadratic case
• Simultaneous representation of integers by a pair of ternary quadratic forms -- with an application to index form equations in quartic number fields
• On Square Fibonacci Numbers

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