Upper bounds for the number of solutions to quartic thue equations

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Date
2011MFO Scientific Program
OWLF 2011Series
Oberwolfach Preprints;2011,21Author
Akhtari, Shabnam
Metadata
Show full item recordOWP-2011-21
Abstract
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 [2] by giving special treatments to forms with respect to their signature.