Gurinder Singh

collaborators

4 papers

math.NT2026

Rademacher-type formula and higher order TurÃ¡n inequalities for $ℓ$ -regular overpartitions

Priyanka Dey, Ajit Singh, Gurinder Singh

For $ℓ \geq 2$ , let $A_{ℓ} (n)$ count the number of overpartitions of $n$ with no parts divisible by $ℓ$ . In this article, we employ the circle method to derive a R…

math.CO2026

On the GÃ¶llnitz-Gordon-Andrews identities via commutative algebra

Rupam Barman, Alapan Ghosh, Gurinder Singh

The GÃ¶llnitz-Gordon-Andrews identities generalize the classical partition identities discovered independently by H. GÃ¶llnitz and B. Gordon. These are Rogers-Ramanujan-type identi…

math.CO2025

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.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…

Rademacher-type formula and higher order TurÃ¡n inequalities for ℓ-regular overpartitions

On the GÃ¶llnitz-Gordon-Andrews identities via commutative algebra

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

On hook length biases in t-regular partitions

Rademacher-type formula and higher order TurÃ¡n inequalities for $ℓ$ -regular overpartitions

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

On hook length biases in $t$ -regular partitions