Hongshu Lin

collaborators

2 papers

math.CO2025

Generalizations of Euler's Theorem to $k$ -regular partitions

Hongshu Lin, Wenston J. T. Zang

Let $A_{k} (n)$ denote the set of $k$ -distinct partitions of $n$ , and let $B_{k} (n)$ be the set of $k$ -regular partitions of $n$ . Glaisher showed that $# A_{k} (n) = # B_{k} (n)$ . For $k = 2$ …

math.CO2025

The inequality on the number of $1$ -hooks, $2$ -hooks and $3$ -hooks in $t$ -regular partitions

Hongshu Lin, Wenston J. T. Zang

Let $b_{n, k}$ denote the number of hooks of length $k$ in all the $t$ -regular partitions of $n$ . Singh and Barman raised the question of finding the relation between $b_{t, 2} (n)$ a…

Generalizations of Euler's Theorem to k-regular partitions

The inequality on the number of 1-hooks, 2-hooks and 3-hooks in t-regular partitions

Generalizations of Euler's Theorem to $k$ -regular partitions

The inequality on the number of $1$ -hooks, $2$ -hooks and $3$ -hooks in $t$ -regular partitions