quasi
Posts:
12,021
Registered:
7/15/05


Re: real parts of powers
Posted:
Feb 14, 2014 7:01 PM


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 socalled "warmup" is mediumhard.
Computer assistance allowed.
quasi

