• DocumentCode
    3038947
  • Title

    An equation involving the Fibonacci numbers and Smarandache primitive function

  • Author

    Yang, Hai ; Fu, Ruiqin

  • Author_Institution
    Sch. of Sci., Xi´´an Polytech. Univ., Xi´´an, China
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    1969
  • Lastpage
    1972
  • Abstract
    For any positive integer n, let Sp(n) denotes the Smarandache primitive function, F denotes the Fibonacci numbers. The main purpose of this paper is using the elementary methods to study the number of the solutions of the equation Sp(F1) + Sp(F2) + ...+ Sp(Fn) = Sp(Fn+2-1), and give all positive integer solutions for this equation.
  • Keywords
    Fibonacci sequences; functions; number theory; Fibonacci numbers; Smarandache primitive function; elementary methods; positive integer solutions; Educational institutions; Equations; Finite element methods; Informatics; Manganese; Medical services; Presses; Equation; Fibonacci numbers; Smarandache primitive function; Solutions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Multimedia Technology (ICMT), 2011 International Conference on
  • Conference_Location
    Hangzhou
  • Print_ISBN
    978-1-61284-771-9
  • Type

    conf

  • DOI
    10.1109/ICMT.2011.6002510
  • Filename
    6002510
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3038947