=ADD=
=reftype=
14
=number=
03-04
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2003/03-04.ps.gz
=year=
2003
=month=
07
=author=
Schneider; Carsten
=title=
Product Representations in $\Pi\Sigma$-Fields
=abstract=
$\Pi\Sigma$-fields are a very general class of difference fields that
enable to discover and prove multisum identities arising in
combinatorics and special functions. In this article we focus on
the problem how such multisums can be represented in terms of
$\Pi\Sigma$-fields. In particular we consider product representations
and their simplifications in $\Pi\Sigma$-fields.
=sponsor=
Austrian Academy of Science and the SFB-grant F1305 of the Austrian FWF
=keywords=
combinatorial identities