Computing elements of given index in totally complex cyclic sextic fields

DOI10.1006/JSCO.1995.1038zbMath0857.11068OpenAlexW2080827099MaRDI QIDQ1911403

István Gaál

Publication date: 6 June 1996

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.1995.1038

zbMATH Keywords

norm equationsindex form equationscubic Thue inequalitiestotally complex sextic fields

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Algebraic number theory computations (11Y40) Other abelian and metabelian extensions (11R20) Multiplicative and norm form equations (11D57)

Related Items (11)

Power Integral Bases in Orders of Composite Fields ⋮ Unnamed Item ⋮ AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS ⋮ Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields ⋮ Power Integral Bases in Cubic Relative Extensions ⋮ On the resolution of relative Thue equations ⋮ Application of Weierstrass units to relative power integral bases ⋮ Calculating generators of power integral bases in pure sextic fields ⋮ On the solution of units and index form equations in algebraic number fields ⋮ Solving index form equations in fields of degree 9 with cubic subfields ⋮ Non-monogeneity in a family of sextic fields

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