%0 Journal Article %T The Method Of Thue-Siegel For Binary Quartic Forms %A Shabnam Akhtari %J Mathematics %D 2009 %I arXiv %R 10.4064/aa141-1-1 %X 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. %U http://arxiv.org/abs/0906.5238v1