Discrete Mathematics & Theoretical Computer Science

DMTCS

Volume 6 n° 2 (2004), pp. 365-386


author:Carsten Schneider
title:The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application
keywords:symbolic summation, rhombus tilings
abstract:We give an overview of how a huge class of multisum identities can be proven and discovered with the summation package Sigma implemented in the computer algebra system Mathematica. General principles of symbolic summation are discussed. We illustrate the usage of Sigma by showing how one can find and prove a multisum identity that arose in the enumeration of rhombus tilings of a symmetric hexagon. Whereas this identity has been derived alternatively with the help of highly involved transformations of special functions, our tools enable to find and prove this identity completely automatically with the computer.

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reference: Carsten Schneider (2004), The Summation Package Sigma: Underlying Principles and a Rhombus Tiling Application, Discrete Mathematics and Theoretical Computer Science 6, pp. 365-386
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Mi Nov 17 16:53:31 CET 2004 by gustedt