Shishuo Fu, A conjecture on the (q,t)-binomial coefficients

A conjecture on the (q,t)-binomial coefficients
Shishuo Fu
Department of Mathematical Sciences, KAIST
2011/09/23 Fri 4PM-5PM
In one of their joint papers, Victor Reiner and Dennis Stanton introduced a (q,t)-generalization of the binomial coefficient. There was an interesting conjecture for the cases when q≤-2 is a negative integer. In this talk, I will prove this conjecture and try to give some combinatorial sense using integer partitions.

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