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
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