=ADD=
=reftype=
14
=number=
02-24
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2002/02-24.ps.gz
=year=
2002
=month=
12
=author=
Schneider; Carsten
=title=
How One Can Play With Sums
=abstract=
There are implementations of the celebrated Gosper algorithm
(1978) and Zeilberger algorithm (1991) on almost any computer
algebra platform. Inspired by Karr's indefinite summation
algorithm (1981) I developed an algorithm based on difference
fields which can handle indefinite and definite summation problems
in a very general setting including Gosper's and Zeilberger's
algorithms. The algorithm is available in form of a package
developed in the computer algebra system Mathematica. The usage of
my summation package Sigma will be illustrated by a concrete
example.
=note=
Presented at the 8th Rhine Workshop on Computer Algebra      
=sponsor=
SFB grant F1305