Repdigits as sums of three Fibonacci numbers

被引:1
|
作者
Luca, Florian [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58089, Michoacan, Mexico
关键词
repdigits; Zeckendorf representation; applications of lower bounds for linear forms in logarithms of algebraic numbers; FACTORIALS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we find all base 10 repdigits which are sums of three Fibonacci numbers.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 50 条
  • [41] Sums of consecutive Fibonacci numbers
    Díaz-Barrero, JL
    Egozcue, JJ
    FIBONACCI QUARTERLY, 2003, 41 (04): : 381 - 381
  • [42] Sums of reciprocals of Fibonacci numbers
    Herrmann, E
    FIBONACCI QUARTERLY, 2004, 42 (04): : 379 - 380
  • [43] SUMS OF GENERALIZED FIBONACCI NUMBERS
    Cerin, Zvonko
    Gianella, Gian Mario
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2008, 12 (02): : 157 - 168
  • [44] Primes as Sums of Fibonacci Numbers
    Drmota, Michael
    Mulllner, Clemens
    Spiegelhofer, Lukas
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 305 (1537) : I - +
  • [45] On the sums of digits of Fibonacci numbers
    Terr, DC
    FIBONACCI QUARTERLY, 1996, 34 (04): : 349 - 355
  • [46] Reciprocal sums of Fibonacci numbers
    Elsner, Carsten
    Shimomura, Shun
    Shiokawa, Lekata
    DIOPHANTINE ANALYSIS AND RELATED FIELDS - DARF 2007/2008, 2008, 976 : 77 - +
  • [47] On the Fibonacci numbers and the Dedekind sums
    Zhang, WP
    Yi, Y
    FIBONACCI QUARTERLY, 2000, 38 (03): : 223 - 226
  • [48] THE SUMS OF THE CONSECUTIVE FIBONACCI NUMBERS
    Shtefan, Dmitriy
    Dobrovolska, Irina
    FIBONACCI QUARTERLY, 2018, 56 (03): : 229 - 236
  • [49] Pell and Pell–Lucas Numbers as Sums of Two Repdigits
    Chèfiath Adegbindin
    Florian Luca
    Alain Togbé
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 1253 - 1271
  • [50] Narayana numbers as sums of two base b repdigits
    Bhoi, Kisan
    Patel, Bijan Kuamr
    Ray, Prasanta Kumar
    ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (02): : 183 - 192