Author(s): Ari Heimonen
The paper gives a computational method for solving Diophantine equa-
tions aa;^ - 6^^ = K for certain a, 6 and A".
The method is based on an
effective irrationality measure result for \/a/b and on the computation of
the continued fraction expansion of $/a/b up to 20 000 partial denomina-
The computation was performed using MATHEMATICA.
Thue  showed in 1919 that we can find an upper bound for all the
integer solutions of the equation
or correspondingly, of the inequality
Size: 736 kb
Paper DOI: 10.2495/IMS970291
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