Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
quasi

Posts: 10,232
Registered: 7/15/05
Re: real parts of powers
Posted: Feb 14, 2014 7:01 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.

Computer assistance allowed.

quasi



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.