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: Why does this tern = 0?

  1. Dec 16, 2004 #1
    URGENT: Why does this tern = 0??

    Can anyone tell me why the term in the bracket = 0??

    where i= root -1 and all vars are integers

    I'm at a loss :-/

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  2. jcsd
  3. Dec 16, 2004 #2


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    Each exponential in the sum represents a point in the complex plane and if you look at the terms carefully you will see that the set of points comprise the vertices of a regular polygon. Think of each point as being a vector from the origin to the given point. Being the vertices of a regular polygon, the vectors must add to zero! That is, unless c is a multiple of q/r in which case all the vertices converge to a single point.
  4. Dec 16, 2004 #3
    Hehe, ok I think that makes sense.. thanks
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