• DocumentCode
    2108628
  • Title

    A new equation involving the euler function

  • Author

    Chen, Bin

  • Author_Institution
    Dept. of Math. & Inf. Sci., Weinan Teachers Univ., Weinan, China
  • fYear
    2010
  • fDate
    17-19 Dec. 2010
  • Firstpage
    977
  • Lastpage
    980
  • Abstract
    For any given integer number n ≥ 1, the well-known Euler function is defined as the positive integer number which is no more than n and coprime with n. ω(n) is all the different prime factor numbers of n. In this paper, we use the new elementary methods to study the solutions of the equation φ(ns) = 2ω(ns), s ≥ 2, and give its all positive integer solutions.
  • Keywords
    number theory; Euler function; elementary method; positive integer number; prime factor number; Artificial neural networks; Education; Equations; Information science; Radiation detectors; Tin; Equation; Euler function; Positive integer solutions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and Information Security (ICITIS), 2010 IEEE International Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-6942-0
  • Type

    conf

  • DOI
    10.1109/ICITIS.2010.5689661
  • Filename
    5689661
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2108628