𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Diophantine Equations Reducible to Quadratics

✍ Scribed by Watson, G. L.


Book ID
120102226
Publisher
Oxford University Press
Year
1967
Tongue
English
Weight
454 KB
Volume
s3-17
Category
Article
ISSN
0024-6115

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A quadratic diophantine equation
✍ Amin Muwafi πŸ“‚ Article πŸ“… 1963 πŸ› Springer Vienna 🌐 English βš– 147 KB
Solutions of some quadratic Diophantine
✍ Refik Keskin πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 249 KB

In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxyβˆ“y 2 βˆ“x = 0 and x 2 -kxy-y 2 βˆ“y = 0. It is shown that when k > 3, x 2 -kxy+y 2 +x = 0 has no positive integer solutions but the equation x 2 -kxy + y 2 -x = 0 has positive integer solutions. Moreover, it is