Minimal Solutions of Diophantine Equations

L. Holzer

doi:10.4153/CJM-1950-021-0

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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 of

with the inequalities

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Minimal Solutions of Diophantine Equations

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