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KCI등재
학술저널
THE EXTENDIBILITY OF DIOPHANTINE PAIRS WITH FIBONACCI NUMBERS AND SOME CONDITIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 3
- : KCI등재
- 2021.08
- 209 - 219 (11 pages)
DOI : 10.14403/jcms.2021.34.3.209
A set {a_1, a_2, cdots, a_m} of positive integers is called a Diophantine m-tuple if a_ia_j+1 is a perfect square for all 1leq i < j leq m. Let F_n be the nth Fibonacci number which is defined by F_0=0, F_1=1 and F_{n+2}=F_{n+1}+F_n. In this paper, we find the extendibility of Diophantine pairs {F_{2k}, b} with some conditions.
1. Introduction
2. Preliminaries
3. The extendibility of {F2k, b} with some conditions
References