Gurinder Singh

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2026

On the Göllnitz-Gordon-Andrews identities via commutative algebra

Rupam Barman, Alapan Ghosh, Gurinder Singh

The Göllnitz-Gordon-Andrews identities generalize the classical partition identities discovered independently by H. Göllnitz and B. Gordon. These are Rogers-Ramanujan-type identiti…

math.CO2025

On hook length biases in $t$ -regular partitions

Rupam Barman, Pankaj Jyoti Mahanta, Gurinder Singh

Let $t \geq 2$ and $k \geq 1$ be integers. A $t$ -regular partition of a positive integer $n$ is a partition of $n$ such that none of its parts is divisible by $t$ . Let $b_{t, k} (n)$ den…

math.CO2024

Hook length inequalities for $t$ -regular partitions in the $t$ -aspect

Gurinder Singh, Rupam Barman

Let $t \geq 2$ and $k \geq 1$ be integers. A $t$ -regular partition of a positive integer $n$ is a partition of $n$ such that none of its parts is divisible by $t$ . Let $b_{t, k} (n)$ den…

math.CO2024

Hook length biases in ordinary and $t$ -regular partitions

Gurinder Singh, Rupam Barman

In this article, we study hook lengths of ordinary partitions and $t$ -regular partitions. We establish hook length biases for the ordinary partitions and motivated by them we find…

On the Göllnitz-Gordon-Andrews identities via commutative algebra

On hook length biases in t-regular partitions

Hook length inequalities for t-regular partitions in the t-aspect

Hook length biases in ordinary and t-regular partitions

On hook length biases in $t$ -regular partitions

Hook length inequalities for $t$ -regular partitions in the $t$ -aspect

Hook length biases in ordinary and $t$ -regular partitions