Complete solutions of a family of quartic Thue and index form equations
نویسندگان
چکیده
Continuing the recent work of the second author, we prove that the diophantine equation fa(x, y) = x 4 − axy − xy + axy + y = 1 for |a| ≥ 3 has exactly 12 solutions except when |a| = 4, when it has 16 solutions. If α = α(a) denotes one of the zeros of fa(x, 1), then for |a| ≥ 4 we also find all γ ∈ Z[α] with Z[γ] = Z[α].
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عنوان ژورنال:
- Math. Comput.
دوره 65 شماره
صفحات -
تاریخ انتشار 1996