Product of repdigits with consecutive lengths in the Fibonacci sequence.

被引：2
|
作者：
Gomez, Jhonny C. [1 ]
Luca, Florian [2 ,3 ,4 ]
机构：
[1] Univ Valle, Dept Matemat, Calle 13 100-00, Cali 25360, Colombia
[2] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[3] King Abdulaziz Univ, Res Grp Algebra Struct & Applicat, Jeddah, Saudi Arabia
[4] UNAM, Ctr Ciencias Matemat, Morelia, Michoacan, Mexico
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2021年 / 27卷 / 02期
关键词：
Fibonacci numbers; Repdigits; Applications of lower bounds for nonzero linear forms in logarithms of algebraic numbers; LLL algorithm;
D O I：
10.1007/s40590-021-00325-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
From the well-known Fibonacci sequence, the number F-10=55=5 center dot 11 is an example not only as a repdigit (a number with only one distinct digit) but also as a product of two repdigits with consecutive lengths, 5 and 11. Here we find all the Fibonacci numbers that can be written as the product of k repdigits with consecutive lengths.
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页数：9
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