1 research outputs found
On Zeilberger's Constant Term for Andrews' TSSCPP Theorem
This paper studies Zeilberger's two prized constant term identities. For one
of the identities, Zeilberger asked for a simple proof that may give rise to a
simple proof of Andrews theorem for the number of totally symmetric self
complementary plane partitions. We obtain an identity reducing a constant term
in variables to a constant term in variables. As applications,
Zeilberger's constant terms are converted to single determinants. The result
extends for two classes of matrices, the sum of all of whose full rank minors
is converted to a single determinant. One of the prized constant term problems
is solved, and we give a seemingly new approach to Macdonald's constant term
for root system of type BC.Comment: 13 pages, two comments from Krattenhaler are added at the end of the
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