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.

引用

页数：9

共 7 条

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[2]

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[4]

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Marques D., 2012, Rend. Istit. Mat. Univ. Trieste, V44, P393

[6]

Marques D, 2015, UTILITAS MATHEMATICA, V98, P23

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