Wenxia Qu

collaborators

3 papers

math.CO2025

New combinatorial proof of Gaussian polynomial and the monotonicity of the Garvan's $k$ -rank

Wenxia Qu, Wenston J. T. Zang

Gaussian polynomial, which is also known as $q$ -binomial coefficient, is one of the fundamental concepts in the theory of partitions. Zeilberger provided a combinatorial proof of G…

math.CO2025

Bilateral truncated quintuple product

Wenxia Qu, Wenston J. T. Zang

In this paper, we present the bilateral truncated identity of the quintuple product identity, which is a generalization of the truncated quintuple product identities given by Chan,…

math.CO2025

On the hook length biases of the $2$ - and $3$ -regular partitions

Wenxia Qu, Wenston J. T. Zang

Let $b_{t, i} (n)$ denote the total number of the $i$ hooks in the $t$ -regular partitions of $n$ . Singh and Barman (J. Number Theory { 264} (2024), 41--58) raised two conjectures on…

New combinatorial proof of Gaussian polynomial and the monotonicity of the Garvan's k-rank

Bilateral truncated quintuple product

On the hook length biases of the 2- and 3-regular partitions

New combinatorial proof of Gaussian polynomial and the monotonicity of the Garvan's $k$ -rank

On the hook length biases of the $2$ - and $3$ -regular partitions