Abstract
Let F(x,y) be an irreducible binary form of degree r≥3, with rational integral coefficients. Let Nr be the number of solutions of the equation |F(x,y)| = 1, then using the methods developed by Bombieri, Schmidt and Stewart, we prove that Nr<414r for r≥24 and that Nr<375r for r≥100. For 4≤r≤23, we obtain an upper bound of Nr for F with large discriminant.
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