Minimal Solutions of Diophantine Equations
- 1 January 1950
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 2, 238-244
- https://doi.org/10.4153/cjm-1950-021-0
Abstract
Our aim is to prove: If a, b, c are positive integers, if ab > 1, if a, b, c are relatively prime in pairs, and all are free of squares, if — ab is a quadratic residue of c, bc of a, ca of b, and if F(x, y, z) = ax2 + by2 — cz2, we have non-trivial solutions ofwith the inequalitiesKeywords
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