Abstract
In the previous paper [Z] D. Zeilberger asks for an elementary, non-combinatorial proof of the identity (KOH). We shall give such a proof.
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References
P. Hall, A partition formula connected with Abelian groups, Comm. Math. Helv., II (1938), 126–129.
I.G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Univ. Press, 1979.
D. Zeilberger, A one-line high school algebra proof of the unimodality of Gaussian polynomials [n k] for k < 20, in Dennis Stanton (ed.), q-Series and Partitions, IMA Volumes in Mathematics and its Applications, Springer-Verlag, New York (1989).
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Macdonald, I.G. (1989). An Elementary Proof of a q-Binomial Identity. In: Stanton, D. (eds) q-Series and Partitions. The IMA Volumes in Mathematics and Its Applications, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0637-5_7
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DOI: https://doi.org/10.1007/978-1-4684-0637-5_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-0639-9
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