Towards Heim and Neuhauser's unimodality conjecture on the Nekrasov-Okounkov polynomials

Abstract Let $$Q_n(z)$$ Q n ( z ) be the polynomials associated with the Nekrasov-Okounkov formula $$\begin{aligned} \sum _{n\ge 1} Q_n(z) q^n := \prod _{m = 1}^\infty (1 - q^m)^{-z - 1}. \end{aligned}$$ ∑ n ≥ 1 Q n ( z ) q n : = ∏ m = 1 ∞ ( 1 - q m ) - z - 1 . In this paper we partially answer a co...

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Bibliographic Details
Main Authors: Hong, Letong (Author), Zhang, Shengtong (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2021-09-20T17:41:11Z.
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