Végsö, J. On power values of binary forms over function fields. (English) Zbl 0880.11032 Publ. Math. Debr. 50, No. 1-2, 145-148 (1997). Let \(K\) be an algebraic function field and let \(F\in K[X,Y]\) be a binary form of degree \(n\) with distinct roots. The author proves that for \(n\geq 5\) all solutions of \[ F(X,Y)=z^m \quad x,y,z\in K,\;m\in\mathbb{Z} \] satisfy \[ H_K\left(\frac{x}{y}\right)\leq 10H_K(z)+C, \] where the effectively computable constant depends only on \(F\) and \(K\). Reviewer: I.Gaál (Debrecen) Cited in 1 Document MSC: 11D61 Exponential Diophantine equations Keywords:binary forms; power values; exponential diophantine equation PDFBibTeX XMLCite \textit{J. Végsö}, Publ. Math. Debr. 50, No. 1--2, 145--148 (1997; Zbl 0880.11032)