Common terms of Leonardo and Jacobsthal numbers

被引：1
|
作者：
Bensella, Hayat [1 ]
Behloul, Djilali [2 ]
机构：
[1] USTHB, Fac Comp Sci, Fac Math, LATN Lab, BP 32, Algiers 16111, Algeria
[2] USTHB, Fac Comp Sci, BP 32, Algiers 16111, Algeria
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2024年 / 73卷 / 01期
关键词：
Diophantine equation; Jacobsthal numbers; Leonardo numbers; Linear forms in logarithms; Reduction method; INTERSECTION; EQUATIONS; PELL;
D O I：
10.1007/s12215-023-00920-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the common terms of the Leonardo {Le(n)}(n=0) and Jacobsthal {J(m)}(m=0) sequences. To accomplish this, we use Baker's theory of linear forms in logarithms of algebraic numbers along with a variation of the Baker-Davenport reduction method to solve the Diophantine equation Le(n) = J(m).
引用
收藏
页码：259 / 265
页数：7
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