𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Analysis of quadratic diophantine equations with fibonacci number solutions

✍ Scribed by Leyendekkers, J. V.; Shannon*, A. G.

Book ID
126515856
Publisher
Taylor and Francis Group
Year
2004
Tongue
English
Weight
108 KB
Volume
35
Category
Article
ISSN
0020-739X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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

On the number of solutions of a diophant
On the number of solutions of a diophantine equation with symmetric entries
✍ M.Z. Garaev πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 117 KB

For a class of strictly increasing real valued functions f (n) we obtain an upper bound for the number of solutions of the equation f (y i ), 1 x 1 , . . . , y d N.