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.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

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

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