Jack C. D. Zhao

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20172019

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math.CO2018

Congruences for the Coefficients of the Powers of the Euler Product

Julia Q. D. Du, Edward Y. S. Liu, Jack C. D. Zhao

Let $p_{k} (n)$ be given by the $k$ -th power of the Euler Product $\prod_{n = 1}^{\infty} (1 - q^{n})^{k} = \sum_{n = 0}^{\infty} p_{k} (n) q^{n}$ . By investigating the properties of the modular equat…

math.CO2017

Proof of a conjecture of Morales-Pak-Panova on reverse plane partitions

Peter L. Guo, C. D. Zhao, Michael X. X. Zhong

Using equivariant cohomology theory, Naruse obtained a hook length formula for the number of standard Young tableaux of skew shape $λ / μ$ . Morales, Pak and Panova found two $q$ -anal…