Re: Sum of exp(-n^2) , n=0..N , N a positive integer.

From: papu (prachar_at_gmail.com)
Date: 08/31/04 

Date: 31 Aug 2004 10:59:48 -0700

Thanks. I have one more question.
Could you tell me if sum 1/(1+n^2)^1/2 can have a closed form for
small numbers? Thank you.

Papu.

Dave Langers wrote:
> > Hello.
> >
> > My N is a small number, typically less than 20 and I am trying to
find
> > a closed form for the summation exp(-n^2) , n=0..N , N a positive
> > integer. Any guidance is greatly appreciated.
> >
> > Papu.
>
> You can write out all the terms in the summation for some N, but
there
> is no way to simplify this further (although of course the sum is
> bounded even in the limit N -> oo).
>
> If you intended to do multiplication however...
>
> --
> M.vr.gr.
> Dave
> ("d-dot-langers-at-wxs-dot-nl")