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MathGroup Archive 2001

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Re: Summation Formulae Table

  • To: mathgroup at
  • Subject: [mg28447] Re: Summation Formulae Table
  • From: "Paul Lutus" <nospam at>
  • Date: Thu, 19 Apr 2001 03:26:35 -0400 (EDT)
  • References: <9bjg2v$>
  • Sender: owner-wri-mathgroup at

"O D" <O_member at> wrote in message
news:9bjg2v$gs8 at
> Is there a way to access the tables that Sum[] uses to simplify summations
> known functions like for example
> Sum[Exp[-a* n^2], {n, -Infinity, Infinity}]
> is simplified into
> EllipticTheta[3, 0, E^(-a)]

This simplification does not use a table, it uses a deterministic algorithm.

> Is there a way to use the table in reverse, to approximate a known

You need to offer a specific example of a problem and a Mathematica solution
that you would like to see in a different form. Also, if you are interested
in approximating functions, you may want to approach the problem
differently, using regression methods such as are offered by "Fit" and
related resources.

Paul Lutus

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