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The diophantine equation Ax4 + By4 + Cz4 = 0
Published online by Cambridge University Press: 24 October 2008
Extract
In a paper (1) published in 1922 in these Proceedings, I conjectured that a curve of genus greater than one contained only a finite number of rational points, but this has never been proved. A particular case is given by the equation of genus three,
and so any results for such equations may be of interest.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 125 - 128
- Copyright
- Copyright © Cambridge Philosophical Society 1970