Jack C. D. Zhao

activity

20172019

collaborators

3 papers

math.NT2019

Finding Modular Functions for Ramanujan-Type Identities

William Y. C. Chen, Julia Q. D. Du, Jack C. D. Zhao

This paper is concerned with a class of partition functions $a (n)$ introduced by Radu and defined in terms of eta-quotients. By utilizing the transformation laws of Newman, Schoene…

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…