On the resolution of index form equations in sextic fields with an imaginary quadratic subfield

DOI10.1006/jsco.1996.0060zbMath0873.11025OpenAlexW1988005548MaRDI QIDQ674758

István Gaál, Michael E. Pohst

Publication date: 30 October 1997

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

Full work available at URL: https://doi.org/10.1006/jsco.1996.0060

zbMATH Keywords

algorithmpower integral basislinear forms in logarithmsBaker's methodcubic Thue equationsindex form equationsLLL basis reduction algorithmsextic field containing an imaginary quadratic subfield

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Algebraic number theory computations (11Y40) Multiplicative and norm form equations (11D57)

Related Items (14)

Unnamed Item ⋮ Power Integral Bases in Cubic Relative Extensions ⋮ Power integral bases in a parametric family of totally real cyclic quintics ⋮ Calculating power integral bases by using relative power integral bases ⋮ Power integral bases in prime-power cyclotomic fields ⋮ A hybrid Gröbner bases approach to computing power integral bases ⋮ On the resolution of relative Thue equations ⋮ Application of Weierstrass units to relative power integral bases ⋮ Power bases for 2-power cyclotomic fields ⋮ Power bases for cyclotomic integer rings ⋮ 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 ⋮ Calculating “Small” Solutions of Relative Thue Equations ⋮ Non-monogeneity in a family of sextic fields

This page was built for publication: On the resolution of index form equations in sextic fields with an imaginary quadratic subfield