Gurinder Singh

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20232026

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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…

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

On the Göllnitz-Gordon-Andrews identities via commutative algebra

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