Edward Y. S. Liu

collaborators

2 papers

math.CO2018

Inequalities for the overpartition function

Edward Y. S. Liu, Helen W. J. Zhang

Let $p (n)$ denote the overpartition funtion. Engel showed that for $n \geq 2$ , $p (n)$ satisfied the Turán inequalities, that is, $\overline{p}(n)^2-\overline{p}…

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…