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Diagonalizable Quartic Thue Equations with Negative Discriminant by Dethier, Christophe is a scholarly article available to read on EtoBox.

What is Diagonalizable Quartic Thue Equations with Negative Discriminant about?

The Thue-Siegel method is applied to derive an upper bound for the number of solutions to Thue's equation $F(x,y) = 1$ where $F$ is a quartic diagonalizable form with negative discriminant. Computation is used in this argument to handle forms whose discriminant is small in absolute value. We then apply our results to bound the number of integral points on a certain family of elliptic curves.

Author

Dethier, Christophe

Published

2018

Language

EN