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

页码：57 / 66

页数：10

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