𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On some Diophantine equations

✍ Scribed by Bahar Demirtürk Bitim, Refik Keskin


Book ID
120732629
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
183 KB
Volume
2013
Category
Article
ISSN
1025-5834

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Some Diophantine Equations
✍ Lagemann, R. T. 📂 Article 📅 1945 🏛 American Institute of Physics 🌐 English ⚖ 441 KB
Solutions of some quadratic Diophantine
✍ Refik Keskin 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 249 KB

In this study, we investigate positive integer solutions of the Diophantine equations x 2 -kxy∓y 2 ∓x = 0 and x 2 -kxy-y 2 ∓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