Upper bounds for the number of solutions to quartic Thue equations

Details Upper bounds for the number of solutions to quartic Thue equations Upper bounds for the number of solutions to quartic Thue equations

2011-08-10

arxiv.org/abs/1108.2185v1

Mathematics

Number Theory

Scientific paper

We will give upper bounds for the number of integral solutions to quartic
Thue equations. Our main tool here is a logarithmic curve $\phi(x, y)$ that
allows us to use the theory of linear forms in logarithms. This manuscript
improves the results of author's earlier work with Okazaki by giving special
treatments to forms with respect to their signature.

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