On the Resolution of Inhomogeneous Norm Form Equations in Two Dominating Variables

DOI10.2307/2008598zbMath0654.10020OpenAlexW4249242488MaRDI QIDQ3800135

István Gaál

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2307/2008598

zbMATH Keywords

Baker's methodnumerical algorithmreduction procedurecomputational number theorytotally real cubic fieldDavenport's lemmainhomogeneous Thue equationsinhomogeneous norm form equationcomputer solution of Diophantine equationsSprindzhuk's method

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Multiplicative and norm form equations (11D57)

Related Items (5)

Solving norm form equations via lattice basis reduction ⋮ Computing all power integral bases in orders of totally real cyclic sextic number fields ⋮ Calculating ``small solutions of inhomogeneous relative Thue inequalities ⋮ Solving index form equations in fields of degree 9 with cubic subfields ⋮ On the resolution of resultant type equations

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