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.