Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

On the resolution of inhomogeneous norm form equations in two dominating variables


Author: István Gaál
Journal: Math. Comp. 51 (1988), 359-373
MSC: Primary 11D57
DOI: https://doi.org/10.1090/S0025-5718-1988-0942162-6
MathSciNet review: 942162
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Applying Baker's well-known method and the reduction procedure described by Baker and Davenport, we give a numerical algorithm for finding all solutions of inhomogeneous Thue equations of type

$\displaystyle {N_{K/Q}}(x + \alpha y + \lambda ) = 1$

in the variables $ x,y \in Z$ and $ \lambda \in {Z_K}$ with $ \lceil \lambda \rceil < (\max \vert x\vert,\vert y\vert){)^{1/2}}$, where $ K = Q(\alpha )$ is a totally real cubic field.

References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11D57

Retrieve articles in all journals with MSC: 11D57


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1988-0942162-6
Keywords: Computer solution of Diophantine equations, Thue equation, Davenport's lemma
Article copyright: © Copyright 1988 American Mathematical Society

American Mathematical Society