The Method Of Thue-Siegel For Binary Quartic Forms

Details The Method Of Thue-Siegel For Binary Quartic Forms The Method Of Thue-Siegel For Binary Quartic Forms

2009-06-29

arxiv.org/abs/0906.5238v1

Mathematics

Number Theory

A version of this paper is to appear in Acta. Arith

Scientific paper

We will use Thue-Siegel method, based on Pad\'e 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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