• DocumentCode
    145230
  • Title

    Tackling Markoff-Hurwitz Equations

  • Author

    Shanzhen Gao ; Keh-Hsun Chen

  • Author_Institution
    Dept. of Comput. Sci., Univ. of North Carolina at Charlotte, Charlotte, NC, USA
  • Volume
    1
  • fYear
    2014
  • fDate
    10-13 March 2014
  • Firstpage
    341
  • Lastpage
    346
  • Abstract
    We present algorithms for searching and generating solutions to the equation x12+x22+ ...+xn2 = kx1x2...xn. Solutions are reported for n = 2, 3,..., 9. Properties of solutions are discussed. We can prove that the solutions do not exist when n=4 and k=2 or 3, n=5 and k=2 or 3. Conjectures based on computational results are discussed.
  • Keywords
    computational complexity; theorem proving; Markoff-Hurwitz equations; conjectures; solution properties; Educational institutions; Equations; Indexes; Radio access networks; Scientific computing; Systematics; Time complexity; Markoff and Hurwitz equations; search solution space; solution generator; solution trees;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Science and Computational Intelligence (CSCI), 2014 International Conference on
  • Conference_Location
    Las Vegas, NV
  • Type

    conf

  • DOI
    10.1109/CSCI.2014.65
  • Filename
    6822132
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=145230