𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solving some parametric quadratic Diophantine equation over and

✍ Scribed by Arzu Özkoç; Ahmet Tekcan; Ismail Naci Cangül

Book ID
113439524
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
161 KB
Volume
218
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Solutions of some quadratic Diophantine
Solutions of some quadratic Diophantine equations
✍ 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