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arXiv · 0906.5238

The Method Of Thue-Siegel For Binary Quartic Forms

Shabnam Akhtari
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Abstract

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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Shabnam Akhtari. 2009-06-29. The Method Of Thue-Siegel For Binary Quartic Forms. https://doi.org/10.4064/aa141-1-1

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