Geodesic
On Zeilberger's constant term for Andrew's TSSCPP theorem
The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2

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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 $2k$ variables to a constant term in $k$ 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.
DOI : 10.37236/2007
Classification : 05A15, 05A19
Mots-clés : Zeilberger's two prized constant term identities, Macdonald's constant term for root systems 
Guoce Xin. On Zeilberger's constant term for Andrew's TSSCPP theorem. The electronic journal of combinatorics, The Zeilberger Festschrift volume, Tome 18 (2011) no. 2. doi: 10.37236/2007
@article{10_37236_2007,
     author = {Guoce Xin},
     title = {On {Zeilberger's} constant term for {Andrew's} {TSSCPP} theorem},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {2},
     doi = {10.37236/2007},
     zbl = {1229.05027},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2007/}
}
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