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Topic: real parts of powers
Replies: 9   Last Post: Feb 15, 2014 1:41 PM

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Posts: 12,067
Registered: 7/15/05
Re: real parts of powers
Posted: Feb 14, 2014 7:01 PM
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quasi wrote:
>Still another revision (a simplification) ...
>Sorry for the flaws in the previous versions.
>Warmup problem (not hard):
>Show that there exists a complex number c such that Im(c^n)
>is nonzero for all positive integers n, and such that
> Re(c^n1) = Re(c^n2) = Re(c^n3)
>for some distinct positive integers n1,n2,n3.

Actually, this so-called "warmup" is medium-hard.

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