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Unimodality of partition polynomials related to Borwein’s conjecture

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The objective of this paper is to prove that the polynomials \(\prod _{k=0}^n(1+q^{3k+1})(1+q^{3k+2})\) are symmetric and unimodal for \(n\ge 0\), by an analytical method.

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Authors and Affiliations

  1. Center for Applied Mathematics, Tianjin University, Tianjin, 300072, People’s Republic of China

    Janet J. W. Dong & Kathy Q. Ji

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  1. Janet J. W. Dong
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  2. Kathy Q. Ji
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Correspondence to Kathy Q. Ji.

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Dong, J.J.W., Ji, K.Q. Unimodality of partition polynomials related to Borwein’s conjecture. Ramanujan J 61, 1063–1076 (2023). https://doi.org/10.1007/s11139-023-00721-5

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