Gurinder Singh

activity

20232026

collaborators

6 papers

math.NT2026

Rademacher-type formula and higher order Turán 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 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…

math.NT2023

Arithmetic properties and asymptotic formulae for $σ_{o} mex (n)$ and $σ_{e} mex (n)$

Gurinder Singh, Rupam Barman

The minimal excludant of an integer partition is the least positive integer missing from the partition. Let $σ_{o} mex (n)$ (resp., $σ_{e} mex (n)$ ) denote the sum of odd (re…

Rademacher-type formula and higher order Turán inequalities for ℓ-regular overpartitions

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

Arithmetic properties and asymptotic formulae for σo​mex(n) and σe​mex(n)

Rademacher-type formula and higher order Turán inequalities for $ℓ$ -regular overpartitions

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

Arithmetic properties and asymptotic formulae for $σ_{o} mex (n)$ and $σ_{e} mex (n)$