On the polynomial \(\frac {1} {[n]_q}[ ^n_k]_q\)

DOI10.1016/j.aam.2004.03.001zbMath1056.05013OpenAlexW2076640317MaRDI QIDQ705242

Sara Brunetti, Alberto del Lungo

Publication date: 26 January 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2004.03.001

zbMATH Keywords

Inversion\(q\)-Integer\(q\)-Multinomial coefficientCombinatorial proofCongruenceMultiset

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (2)

Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points ⋮ Factors of the Gaussian coefficients

Cites Work

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• Unimodality of Gaussian coefficients: A constructive proof
• A cycle lemma for permutation inversions
• An equipartition property for the distribution of multiset permutation inversions

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