SOLUTIONS OF THE MARKOFF EQUATION IN TRIBONACCI NUMBERS

被引：0
|
作者：
Hashim, Hayder R. [1 ]
机构：
[1] Univ Kufa, Fac Comp Sci & Math, POB 400, Al Najaf 54001, Iraq
来源：
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2023年 / 27卷 / 555期
关键词：
Tribonacci numbers; Diophantine equations; Markoff equation; ROSENBERGER TRIPLES;
D O I：
10.21857/yq32ohx069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we determine all of the positive integer solutions of the so-called Markoff equation x2 + y2 + z2 = 3xyz in the sequence of Tribonacci numbers {Tn}, i.e. (x, y, z) = (Ti, Tj, Tk) such that i, j, k & GE; 2.
引用
收藏
页码：71 / 79
页数：9
相关论文
共 50 条
  • [31] Incomplete Tribonacci–Lucas Numbers and Polynomials
    Nazmiye Yilmaz
    Necati Taskara
    Advances in Applied Clifford Algebras, 2015, 25 : 741 - 753
  • [32] TRIBONACCI NUMBERS WITH TWO BLOCKS OF REPDIGITS
    Bravo, Eric F.
    Bravo, Jhon J.
    MATHEMATICA SLOVACA, 2021, 71 (02) : 267 - 274
  • [33] Multiplicatively dependent triples of Tribonacci numbers
    Gomez Ruiz, Carlos Alexis
    Luca, Florian
    ACTA ARITHMETICA, 2015, 171 (04) : 327 - 353
  • [34] On Repdigits as Sums of Fibonacci and Tribonacci Numbers
    Trojovsky, Pavel
    SYMMETRY-BASEL, 2020, 12 (11): : 1 - 7
  • [35] HESSENBERG MATRICES ON FIBONACCI AND TRIBONACCI NUMBERS
    Feng, Jishe
    ARS COMBINATORIA, 2016, 127 : 117 - 124
  • [36] Tribonacci numbers that are concatenations of two repdigits
    Ddamulira, Mahadi
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (04)
  • [37] GENERALIZED TRIBONACCI NUMBERS AND THEIR CONVERGENT SEQUENCES
    GERDES, W
    FIBONACCI QUARTERLY, 1978, 16 (03): : 269 - 275
  • [38] Golden proportions for the generalized Tribonacci numbers
    Shah, Devbhadra V.
    Mehta, Darshana A.
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2009, 40 (06) : 837 - 842
  • [39] Repdigits as Sums of Four Tribonacci Numbers
    Zhou, Yuetong
    Yang, Peng
    Zhang, Shaonan
    Zhang, Kaiqiang
    SYMMETRY-BASEL, 2022, 14 (09):
  • [40] MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD
    Choi, Eunmi
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2013, 20 (03): : 207 - 221
12345