Gurinder Singh

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20232026

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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…

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

Hook length biases in ordinary and t-regular partitions

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

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