Products of three Fibonacci numbers that are repdigits

被引:0
|
作者
Alan, Murat [1 ]
Alan, Kadriye Simsek [2 ]
机构
[1] Yildiz Tech Univ, Dept Math, Istanbul, Turkiye
[2] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkiye
来源
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2023年 / 16卷 / 04期
关键词
Fibonacci numbers; Diophantine equations; Repdigits; Linear forms in logarithms; SUMS; EQUATIONS;
D O I
10.32513/asetmj/193220082333
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let (F-n)(n >= 0) be a Fibonacci sequence. A non-negative integer whose digits are all equal is called a repdigit and any non-zero repdigit is of the form a (10(d) -1/9) where 1 <= a <= 9 and 1 <= d. In this paper, we search all repdigits that can be written as products of three Fibonacci numbers. As a mathematical expression, we find all non-negative integer solutions (n, m, l, a, d) of the Diophantine equation FnFmFl = a (10(d) -1/9) , 1 <= l <= m <= n and 1 <= a <= 9..
引用
收藏
页码:57 / 66
页数:10
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