• DocumentCode
    1913988
  • Title

    On Integral Representations for the Zeta-Function

  • Author

    Yang Mingshun

  • Author_Institution
    Dept. of Math., WeiNan Teachers Univ., Weinan, China
  • Volume
    4
  • fYear
    2009
  • fDate
    10-11 Oct. 2009
  • Firstpage
    574
  • Lastpage
    576
  • Abstract
    In this note we shall derive Hermite´s formula for the Hurwitz zeta-function from the functional equation for the Riemann zeta-function and derive Binet´s second expression for the gamma function form Hermite´s formula, thus deriving properties of the gamma function from the zeta-function.
  • Keywords
    functional equations; integral equations; Binets second expression; Hermites formula; Hurwitz zeta-function; Riemann zeta-function; functional equation; gamma function; integral representation; Automation; Convergence; Educational institutions; Integral equations; Mathematics; Binet´s formula; Hermite´s formula; Hurwitz zata-function; gamma function;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
  • Conference_Location
    Changsha, Hunan
  • Print_ISBN
    978-0-7695-3804-4
  • Type

    conf

  • DOI
    10.1109/ICICTA.2009.853
  • Filename
    5288360