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Quartic Thue equations
Authors:Shabnam Akhtari  Ryotaro Okazaki
Institution:a Max-Planck-Institut für Mathematik, PO Box 7280, 53072 Bonn, Germany
b Doshisha University, Department of Mathematics, Kyotanabe, Kyoto 610-0394, Japan
Abstract:We will give upper bounds upon the number of integral solutions to binary quartic Thue equations. We will also study the geometric properties of a specific family of binary quartic Thue equations to establish sharper upper bounds.
Keywords:Thue equation  Linear forms in logarithms  The Thue-Siegel principle
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