Upper bounds for the number of solutions to quartic thue equations
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OWP2011_21.pdf (378.7Kb)Date
2011MFO Scientific Program
OWLF 2011Series
Oberwolfach Preprints;2011,21Metadata
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Abstract
We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve ϕ(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.
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