On the resolution of index form equations in biquadratic number fields. I

DOI10.1016/0022-314X(91)90090-XzbMath0726.11022OpenAlexW2029775181MaRDI QIDQ802647

István Gaál, Attila Pethoe, Michael E. Pohst

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90090-x

zbMATH Keywords

index form equationsmall solutionsbinary recurrence sequencebiquadratic number field

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Class field theory (11R37) Cubic and quartic extensions (11R16) Diophantine equations (11D99)

Related Items

Monogenic biquadratic fields, On the Resolution of Index Form Equations in Dihedral Quartic Number Fields, Complete solutions of a family of quartic Thue and index form equations, Computing all power integral bases in orders of totally real cyclic sextic number fields, The Solution of Triangularly Connected Decomposable Form Equations, Optimal systems of fundamental \(S\)-units for LLL-reduction, MONOGENEITY IN CYCLOTOMIC FIELDS, Computing all monogeneous mixed dihedral quartic extensions of a quadratic field, Establishing the minimal index in a parametric family of bicyclic biquadratic fields, On the resolution of index form equations in biquadratic number fields. II, On a problem of Hasse for certain imaginary Abelian fields

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