Comment on Volume 18(2), article P11
(Jun 11, 2011)
On Zeilberger's Constant Term for Andrews' TSSCPP Theorem
Guoce Xin
Comment
by the author, Jun 18, 2011:
Conjecture 10 was already made, in an
equivalent form, in Section 5 of Zeilberger's paper [11] . Moreover,
the conjecture has been proved by Krattenhaler in "Determinant
identities and a generalization of the number of totally symmetric
self-complementary plane partitions", (Electron. J. Combin. 4(1)
(1997), #R27.). The determinants on page 8 are special cases of
Theorems 30 and 31 in "Advanced Determinant Calculus" by
Krattenhaler, Séminaire Lotharingien Combin. 42 (1999), Article
B42q.