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ZEILBERGER'S KOH THEOREM AND THE STRICT UNIMODALITY OF q-BINOMIAL COEFFICIENTS.
- Source :
- Proceedings of the American Mathematical Society; Jul2015, Vol. 143 Issue 7, p2795-2799, 5p
- Publication Year :
- 2015
-
Abstract
- A recent nice result due to I. Pak and G. Panova is the strict unimodality of the q-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 b is fixed and a is large enough. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 143
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 102164949
- Full Text :
- https://doi.org/10.1090/S0002-9939-2015-12510-5