Diophantine equations in separated variables

We study Diophantine equations of type f ( x ) = g ( y ) , where both f and g have at least two distinct critical points (roots of the derivative) and equal critical values at at most two distinct critical points. Various classical families of polynomials ( f n ) n are such that f n satisfies these...

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Veröffentlicht in:	Periodica mathematica Hungarica 2018, Vol.76 (1), p.47-67
Hauptverfasser:	Kreso, Dijana, Tichy, Robert F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Derivatives Diophantine equation Integrals Mathematical analysis Mathematics Mathematics and Statistics Permutations Polynomials
Online-Zugang:	Volltext
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