Certain Diophantine Equations Linear In One Unknown
- 1 January 1956
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 8, 5-12
- https://doi.org/10.4153/cjm-1956-003-2
Abstract
1. Introduction. A. Brauer and R. Brauer (2) and Barnes (1) (following a method of Mordell (6)) have solved the Diophantine equation x2+y2+c = xyz subject to the condition (x, y) = 1. Independently, but using the same methods, I treated (4) the equationx2+y2+ax+ay+l = xyz,and subsequently (5) gave a method of obtaining all integral solutions ofx2±y2+ax+by+c = xyz,thereby generalizing (2), (1), and (4).Keywords
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