Zeilberger's KOH theorem and the strict unimodality of q-binomial coefficients
A recent nice result due to I. Pak and G. Panova is the strict unimodality of the -binomial coefficients . Since their proof used representation theory and Kronecker coefficients, the authors also asked for an argument that would employ Zeilberger's KOH theorem. In this note, we give such a proof. Then, as a further application of our method, we also provide a short proof of their conjecture that the difference between consecutive coefficients of can get arbitrarily large, when we assume that is fixed and is large enough.
Proceedings of the American Mathematical Society
Zeilberger's KOH theorem and the strict unimodality of q-binomial coefficients.
Proceedings of the American Mathematical Society,
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