=ADD=
=reftype=
14
=number=
02-03
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2002/02-03.ps.gz
=year=
2002
=month=
07
=author=
Schneider; Carsten
=title=
Solving Parameterized Linear Difference Equations in $\Pi\Sigma$-Fields
=abstract=
In this work algorithms are developed that enable to find all
solutions of parameterized linear difference equations in a very
general difference field setting, so called $\Pi\Sigma$-fields. These
algorithms not only empower to simplify indefinite nested
multisums, but also allow to proof and discover a huge class of
definite multisums identities.
=sponsor=
Supported by SFB grant F1305 of the Austrian FWF.
=keywords=
parameterized linear difference equations, $\Pi\Sigma$-fields