• Title of article

    Values of the double sine function Original Research Article

  • Author/Authors

    Shin-Ya Koyama، نويسنده , , Nobushige Kurokawa ، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2007
  • Pages
    20
  • From page
    204
  • To page
    223
  • Abstract
    We calculate basic values of the double sine function. The algebraicity for some special values is proved. Its behavior in the fundamental domain is also studied. Especially we show that it has just two extremes: one relative maximum and one relative minimum. Asymptotic formulas for these extremal values are proved.
  • Keywords
    Double sine function , Double Hurwitz zeta function , Extremal value , Algebraicity
  • Journal title
    Journal of Number Theory
  • Serial Year
    2007
  • Journal title
    Journal of Number Theory
  • Record number

    715944