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 
@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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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

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