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
相关论文
共 50 条
  • [1] Common terms of Leonardo and Jacobsthal numbers
    Hayat Bensella
    Djilali Behloul
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 259 - 265
  • [2] Publisher Correction: Common terms of Leonardo and Jacobsthal numbers
    Hayat Bensella
    Djilali Behloul
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 (2): : 773 - 773
  • [3] Common terms of Leonardo and Jacobsthal numbers (July, 10.1007/s12215-023-00920-5, 2023)
    Bensella, Hayat
    Behloul, Djilali
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (02) : 773 - 773
  • [4] Some Identities Involving Common Factors of k - Jacobsthal and k -Jacobsthal - Lucas Numbers
    Thongkamhaeng, Wasana
    Makate, Nonthiya
    Sengpanit, Amaraporn
    [J]. 2015 INTERNATIONAL CONFERENCE ON SCIENCE AND TECHNOLOGY (TICST), 2015, : 461 - 463
  • [5] GENERALIZED IDENTITIES INVOLVING COMMON FACTORS OF GENERALIZED FIBONACCI, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS
    Panwar, Yashwant K.
    Singh, Bijendra
    Gupta, V. K.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2013, 3 (01): : 53 - 59
  • [6] GAUSSIAN JACOBSTHAL AND GAUSSIAN JACOBSTHAL LUCAS NUMBERS
    Asci, Mustafa
    Gurel, Esref
    [J]. ARS COMBINATORIA, 2013, 111 : 53 - 63
  • [7] ON JACOBSTHAL AND JACOBSTHAL-LUCAS HYBRID NUMBERS
    Szynal-Liana, Anetta
    Wloch, Iwona
    [J]. ANNALES MATHEMATICAE SILESIANAE, 2019, 33 (01) : 276 - 283
  • [8] Remark on Jacobsthal numbers
    Atanassov, Krassimir T.
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2007, 13 (03) : 36 - 36
  • [9] Relations on Jacobsthal numbers
    Arunkumar, S.
    Kannan, V.
    Srikanth, R.
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2013, 19 (03) : 21 - 23
  • [10] COMPLEX FACTORIZATIONS OF THE JACOBSTHAL AND JACOBSTHAL LUCAS NUMBERS
    Arslan, Saadet
    Koken, Fikri
    [J]. ARS COMBINATORIA, 2010, 96 : 289 - 294
12345