A quadratic diophantine equation
β Scribed by Amin Muwafi
- Publisher
- Springer Vienna
- Year
- 1963
- Tongue
- English
- Weight
- 147 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxyβy 2 βx = 0 and x 2 -kxy-y 2 βy = 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
We consider systems of quadratic diophantine inequlities. For example, suppose that Q 1 and Q 2 are real diagonal quadratic forms in s variables, where one has s 10. Suppose also that every form :Q 1 +;Q 2 with (:, ;) # R 2 "[0] has at least 5 nonzero coefficients, one irrational coefficient, at lea