$q$-Log-concavity and $q$-unimodality of Gaussian polynomials and a problem of Andrews and Newman
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Published:2023-05-01
Issue:5
Volume:99
Page:
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ISSN:0386-2194
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Container-title:Proceedings of the Japan Academy, Series A, Mathematical Sciences
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language:
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Short-container-title:Proc. Japan Acad. Ser. A Math. Sci.
Subject
General Mathematics
Reference6 articles.
1. G. E. Andrews, The theory of partitions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1998.
2. G. E. Andrews and D. Newman, The minimal excludant in integer partitions, J. Integer Seq. 23 (2020), no. 2.
3. L. M. Butler, A unimodality result in the enumeration of subgroups of a finite abelian group, Proc. Amer. Math. Soc. 101 (1987), no. 4, 771–775.
4. L. M. Butler, The $q$-log-concavity of $q$-binomial coefficients, J. Combin. Theory Ser. A 54 (1990), no. 1, 54–63.
5. C. Krattenthaler, On the $q$-log-concavity of Gaussian binomial coefficients, Monatsh. Math. 107 (1989), no. 4, 333–339.