On a parametric family of Thue inequalities over function fields

• Autores: Clemens Fuchs, Borka Jadrijevic
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 1, 2007, págs. 9-23
• Idioma: inglés
• DOI: 10.1017/s0305004107000217
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• Resumen

  • In this paper we completely solve a family of Thue inequalities defined over the field of functions , namely deg (X4-4cX3Y+(6c+2)X2Y2+4cXY3+Y4) = deg c, where the solutions x,y come from the ring and the parameter is some non-constant polynomial.