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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.



 

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