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Some Diophantine Equations

✍ Scribed by Lagemann, R. T.

Book ID
111987002
Publisher
American Institute of Physics
Year
1945
Tongue
English
Weight
441 KB
Volume
13
Category
Article
ISSN
0002-9505

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πŸ“œ SIMILAR VOLUMES

On some Diophantine equations
On some Diophantine equations
✍ Bahar DemirtΓΌrk Bitim, Refik Keskin πŸ“‚ Article πŸ“… 2013 πŸ› Hindawi Publishing Corporation 🌐 English βš– 183 KB
Solutions of some quadratic Diophantine
Solutions of some quadratic Diophantine equations
✍ 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