\(q\)-log-concavity and \(q\)-unimodality of Gaussian polynomials and a problem of Andrews and Newman

DOI10.3792/pjaa.99.007OpenAlexW4382762955MaRDI QIDQ6108393

Shane Chern

Publication date: 29 June 2023

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/proceedings-of-the-japan-academy-series-a-mathematical-sciences/volume-99/issue-5/q-Log-concavity-and-q-unimodality-of-Gaussian-polynomials-and/10.3792/pjaa.99.007.full

zbMATH Keywords

nonnegativityGaussian polynomial\(q\)-log-concavity\(q\)-unimodality

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial inequalities (05A20)

Cites Work

• On the q-log-concavity of Gaussian binomial coefficients
• Inductive proofs of \(q\)-log concavity
• The q-log-concavity of q-binomial coefficients
• A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
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