qMultiSum
Short Description
qMultiSum is a Mathematica package for proving
q-hypergeometric
multiple summation identities. It has been developed by
Axel Riese,
a PostDoc of the
RISC Combinatorics group.
Registration and Legal Notices
The source code for this package is password protected. To get the password
send an email to
Peter Paule.
It will be given for free to all researchers and non-commercial users.
Copyright © 1999–2012 The RISC Combinatorics Group, Austria — all rights reserved.
Commercial use of the software is prohibited without prior written permission.
A Note on Encoded Files
This package contains one or more Mathematica input files which are encoded. Those files
cannot be read or modified directly as plain text, but can be loaded into
Mathematica just like any normal input file (i.e., with
<<"file" or
Get["file"]).
There is no need (and also no way) to decode them by using additional software
or a special key.
If loading an encoded file causes a syntax error, open it with a
text editor and remove any blank lines at the beginning (for some
reason your Mac could have inserted them silently...).
The Package
The
qMultiSum package consists of the Mathematica input file
and "The Beginner's Guide to
qMultiSum"
Screenshot
Click
here for an automatic proof of
an identity that implies Andrews' generalization of the Pentagonal Number Theorem.
Literature
Information on the use of the package (together with its
theoretical background) can be found in the paper
A. Riese,
qMultiSum - A Package for Proving q-Hypergeometric Multiple Summation Identities,
J. Symbolic Comput., 35 (2003), 349-376.
[pdf]
Versions and Bugs
The current version of the package is 2.52 last updated on July 30, 2010.
Please report any bugs and comments to
Ralf Hemmecke.