The Method Of Thue-Siegel For Binary Quartic Forms

preprint2009arXivOpen access

We will use Thue-Siegel method, based on Padé approximation via hypergeometric functions, to give upper bounds for the number of integral solutions to the equation $|F(x, y)| = 1$ as well as the inequalities $|F(x, y)| \leq h$ , for a certain family of irreducible quartic binary forms.

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The Method Of Thue-Siegel For Binary Quartic Forms

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