Computing power integral bases in quartic relative extensions
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Publication:5928005
DOI10.1006/jnth.2000.2541zbMath0993.11055OpenAlexW2001227948MaRDI QIDQ5928005
Publication date: 19 March 2001
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/0a3d26a76c9cba90355046d9ad8558632c798527
Other number fields (11R21) Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16)
Related Items (11)
CALCULATING RELATIVE POWER INTEGRAL BASES IN TOTALLY COMPLEX QUARTIC EXTENSIONS OF TOTALLY REAL FIELDS ⋮ Monogenic binomial compositions ⋮ The scheme of monogenic generators. I: Representability ⋮ Power Integral Bases in Cubic Relative Extensions ⋮ Calculating power integral bases by using relative power integral bases ⋮ Application of Weierstrass units to relative power integral bases ⋮ Monogenic cyclotomic compositions ⋮ The monogeneity of radical extensions ⋮ Calculating ``small solutions of inhomogeneous relative Thue inequalities ⋮ Calculating “Small” Solutions of Relative Thue Equations ⋮ On the resolution of resultant type equations
Uses Software
Cites Work
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- Computing all power integral bases in orders of totally real cyclic sextic number fields
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