On a Family of Quartic Thue Inequalities I

On a Family of Quartic Thue Inequalities I

For integersa⩾8, we give upper bounds for the solutions of the Thue inequalities |x4−a2x2y2+y4|⩽k(a), where k(a) is a function with positive values. The method is based on Padé approximations.

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Veröffentlicht in:Journal of number theory 1997-09, Vol.66 (1), p.70-84
1. Verfasser: Wakabayashi, Isao
Format: Artikel
Sprache:eng
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Zusammenfassung:For integersa⩾8, we give upper bounds for the solutions of the Thue inequalities |x4−a2x2y2+y4|⩽k(a), where k(a) is a function with positive values. The method is based on Padé approximations.
ISSN:0022-314X
1096-1658
DOI:10.1006/jnth.1997.2161