P000006
Unimodality of certain partition polynomials
*Wan-Ming Guo (School of Mathematical Sciences, Qufu Normal University)
Bao-Xuan Zhu (School of Mathematics and Statistics, Jiangsu Normal University)
Let $\beta$ be an integer and satisfy $0\leq\beta\leq5$. In this paper, we prove that the partition polynomial
$$\prod_{k=1}^{n}[1+(2+\beta)q^k+q^{2k}]$$
is symmetric and unimodal for $n\geq1$.