• Title of article

    On the Nonmonotonicity of (Im(zn)) Original Research Article

  • Author/Authors

    Bruce Reznick، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    5
  • From page
    144
  • To page
    148
  • Abstract
    We show that the sequence (Im(zn)) is never monotone when z is a non-real complex number, and (Re(zn)) is never monotone, unless z=reiπθ, where θ=k/m for some odd m, and r is sufficiently large or sufficiently small. Similar results hold for the length of the projection of zn onto any line through the origin.
  • Journal title
    Journal of Number Theory
  • Serial Year
    1999
  • Journal title
    Journal of Number Theory
  • Record number

    714998