Acta Arithmetica · 2002 · 24 citations · 15 references
Natural SciencesMathematicsGeometryNumber TheoryPhilosophy Of MathematicsDiophantine EquationsParametric EquationsQuadratic FormsSystems Of Differential EquationsDiophantine Equation SolvingPell's EquationPolynomial Diophantine EquationsThue Equations
In this paper we prove that the Diophantine equation where c 3 is an integer, has only the trivial solutions (1, 0), (0, 1).
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On the practical solution of the Thue equation
Nikos Tzanakis, B.M.M. de Weger · Journal of Number Theory · 1989 · 157 citations · Full text
Solving Thue Equations of High Degree
Yuri Bilu, Guillaume Hanrot · Journal of Number Theory · 1996 · 111 citations