k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits

被引：2
|
作者：
Rihane, Salah Eddine [1 ]
机构：
[1] Univ Ctr Mila, Dept Math & Comp Sci, BP 26, Mila 43000, Algeria
来源：
RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期
关键词：
k-Fibonacci numbers; k-Lucas numbers; Repdigits; Linear form in logarithms; Reduction method; SUMS;
D O I：
10.1007/s00025-021-01526-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k >= 2. A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci and k-Lucas sequences, respectively. For these sequences the first k terms are 0, ... , 0,1 and 0, ... , 0, 2, 1, respectively, and each term afterwards is the sum of the preceding k terms. In this manuscript, our main objective is to find all k-Fibonacci and k-Lucas numbers which are product of two repdigits. This generalizes the result from Erduvan and Keskin (Turk J Math 43: 2142-2153, 2019).
引用
收藏
页数：20
相关论文
共 50 条
  • [1] k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits
    Salah Eddine Rihane
    Results in Mathematics, 2021, 76
  • [2] On k-Fibonacci and k-Lucas numbers written as a product of two Pell numbers
    Salah Eddine Rihane
    Boletín de la Sociedad Matemática Mexicana, 2024, 30
  • [3] On k-Fibonacci and k-Lucas numbers written as a product of two Pell numbers
    Rihane, Salah Eddine
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (01):
  • [4] FERMAT k-FIBONACCI AND k-LUCAS NUMBERS
    Bravo, Jhon J.
    Herrera, Jose L.
    MATHEMATICA BOHEMICA, 2020, 145 (01): : 19 - 32
  • [5] The Generalized k-Fibonacci and k-Lucas Numbers
    Uslu, K.
    Taskara, N.
    Kose, H.
    ARS COMBINATORIA, 2011, 99 : 25 - 32
  • [6] Symmetric functions of the k-Fibonacci and k-Lucas numbers
    Boussayoud, Ali
    Kerada, Mohamed
    Araci, Serkan
    Acikgoz, Mehmet
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (03)
  • [7] On Relationship Among a New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers
    Ozkan, Engin
    Altun, Ipek
    Gocer, Ali Aykut
    CHIANG MAI JOURNAL OF SCIENCE, 2017, 44 (04): : 1744 - 1750
  • [8] On the k-Fibonacci and k-Lucas spinors
    Kumari, Munesh
    Prasad, Kalika
    Frontczak, Robert
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2023, 29 (02) : 322 - 335
  • [9] Multiplicative dependence between k-Fibonacci and k-Lucas numbers
    Carlos A. Gómez
    Jhonny C. Gómez
    Florian Luca
    Periodica Mathematica Hungarica, 2020, 81 : 217 - 233
  • [10] k-Fibonacci and k-Lucas numbers as (l, m)-antipalindromic numbers
    Brahmi, Adel
    Mokhtar, Ahmed Ait
    Rihane, Salah Eddine
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2025, 31 (02):
12345