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On a parametric family of Thue inequalities over function fields (CROSBI ID 123710)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Fuchs, Clemens ; Jadrijević, Borka
On a parametric family of Thue inequalities over function fields // Mathematical proceedings of the Cambridge Philosophical Society, 143 (2007), 1; 9-23-x
Podaci o odgovornosti
Fuchs, Clemens ; Jadrijević, Borka
engleski
On a parametric family of Thue inequalities over function fields
In this paper we completely solve a family of Thue inequalities defined over the field of functions C(T), namely deg(X⁴ -4cX³ ; ; Y+(6c+2)X² ; ; Y² ; ; +4cXY³ ; ; +Y⁴ )≤ deg c, where the solutions x, y come from the ring C[T] and the parameter c∈ C[T] is some non-constant polynomial.
Thue equations; function fields; continued fraction algorithm for polynomials; simultaneous Pellian equations
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Podaci o izdanju
143 (1)
2007.
9-23-x
objavljeno
0305-0041
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