Diophantine Equations Related with Linear Binary Recurrences
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper we find all solutions of four kinds of the Diophantine equations x 2 ± Vtxy − y 2 ± x = 0 and x 2 ± Vtxy − y 2 ± y = 0, for an odd number t, and, x 2 ± Vtxy + y 2 − x = 0 and x 2 ± Vtxy + y 2 − y = 0, for an even number t, where Vn is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.
Keywords:
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 1, May 2022
Pages:
11 to 26
https://www.magiran.com/p2420886