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Gary Walsh - Old and new results on quartic diophantine equations
GARY WALSH, Department of Mathematics, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada |
Old and new results on quartic diophantine equations |
During his illustrious career, Wilhelm Ljunggren proved many results on the solvability of Diophantine equations of the form aX4-bY2=c. In this talk we present some of Ljunggren's work, some problems remaining from his work, and recent progress on these outstanding problems. This is joint work with M. A. Bennett.