On Two-parametric Quartic Families of Diophantine Problems

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On Two-Parametric Quartic Families of Diophantine Problems

Let n ≥ 3, v1(x), . . . , vn−1(x) ∈ Z[x] and u ∈ {−1, 1}, then x(x− v1(a)y) · · · (x− vn−1(a)y) + uy = ±1 is called a parametrized familiy of Thue equations, if a ∈ Z and the solutions x, y are searched in Z; cf. Thomas (1993). There are several results concerning parametrized families of cubic and quartic families of Thue equations, see Mignotte et al. (1996) and the references therein. Thomas...

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ژورنال

عنوان ژورنال: Journal of Symbolic Computation

سال: 1998

ISSN: 0747-7171

DOI: 10.1006/jsco.1998.0205