A Generalized Fibonacci Sequence and the Diophantine Equations $x^2pm kxy-y^2pm x=0$

نویسندگان

  • Hassan Daghigh
  • Mojtaba Bahramian
چکیده مقاله:

In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions.

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عنوان ژورنال

دوره 8  شماره None

صفحات  111- 121

تاریخ انتشار 2013-10

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