=ADD=
=reftype=
14
=number=
00-02
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2000/00-02.ps.gz
=year=
2000
=month=
02
=author=
Zimmermann; Burkhard
=title=
Difference Forms and Hypergeometric Sums
=abstract=
The method of {\em difference forms (WZ forms)} was invented by Zeilberger
in order to discover and prove hypergeometric summation identities. To
prove multisum identities by this method, one needs nontrivial closed
difference forms of higher degree. Almost no such forms were known so
far. To find some, we develop a new method for transforming difference
forms in a way that preserves their closedness, which can be seen as a
discrete variant of change of variables in differential forms. Our final
goal is to discover new multisum identities, examples are given.
=keywords=
multisum identities
=note=
Master Thesis
=sponsor=
FWF