Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers

被引：3

作者：

Rihane, Salah Eddine ^{[1
,2
]}

Akrour, Youssouf ^{[3
,4
]}

El Habibi, Abdelaziz ^{[5
]}

机构：

[1] Univ Sci & Technol Houari Boumediene, Fac Math, Lab Algebra & Number Theory, BP 32, Algiers 16111, Algeria

[2] Univ Ctr Mila, Dept Math & Comp Sci, BP 26, Mila 43000, Algeria

[3] Ecole Normale Super, Dept Math & Comp Sci, Algiers, Algeria

[4] Mohamed Seddik Ben Yahia Univ, LMAM Lab, Jijel, Algeria

[5] Mohamed First Univ, Fac Sci, Dept Math, ACSA Lab, Oujda, Morocco

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 03期

关键词：

Fibonacci numbers; Pell numbers; Linear form in logarithms; Reduction method;

D O I：

10.1007/s40590-020-00296-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we find all the Fibonacci numbers which are products of three Pell numbers and all Pell numbers which are products of three Fibonacci numbers.

引用

页码：895 / 910

页数：16

共 5 条

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[2] Ddamulira M, 2016, FIBONACCI QUART, V54, P11
[3] A generalization of a theorem of Baker and Davenport
Dujella, A
Petho, A
[J]. QUARTERLY JOURNAL OF MATHEMATICS, 1998, 49 (195) : 291 - 306
[4] An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
Matveev, EM
[J]. IZVESTIYA MATHEMATICS, 2000, 64 (06) : 1217 - 1269
[5] Weger B. M. M., 1989, Algorithms for Diophantine Equations

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