Repdigits as products of two Fibonacci or Lucas numbers

被引：15
|
作者：
Erduvan, Fatih [1 ]
Keskin, Refik [1 ]
机构：
[1] Sakarya Univ, Dept Math, Sakarya, Turkey
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2020年 / 130卷 / 01期
关键词：
Fibonacci number; Lucas number; repdigit; Diophantine equations; linear forms in logarithms;
D O I：
10.1007/s12044-020-0554-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we show that if 2 < m < n and Fm Fn represents a repdigit, then (m, n) belongs to the set {(2, 2), (2, 3), (3, 3), (2, 4), (3, 4), (4, 4), (2, 5), (2, 6), (2, 10)}. Also, we show that if 0 < m < n and Lm L represents a repdigit, then (m, n) belongs to the set (0, 0), (0, 1), (1, 1), (0, 2), (1, 2). (2, 2), (0, 3), (1, 3), (1, 4). (1, 5), (2,5), (3, 5), (4,5)}.
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页数：14
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