Gurinder Singh

collaborators

3 papers

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…

math.NT2023

Certain Diophantine equations and new parity results for $21$ -regular partitions

Ajit Singh, Gurinder Singh, Rupam Barman

For a positive integer $t \geq 2$ , let $b_{t} (n)$ denote the number of $t$ -regular partitions of a nonnegative integer $n$ . In a recent paper, Keith and Zanello investigated the par…

math.NT2022

Arithmetic properties of certain $t$ -regular partitions

Rupam Barman, Ajit Singh, Gurinder Singh

For a positive integer $t \geq 2$ , let $b_{t} (n)$ denote the number of $t$ -regular partitions of a nonnegative integer $n$ . Motivated by some recent conjectures of Keith and Zanello…

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

Certain Diophantine equations and new parity results for 21-regular partitions

Arithmetic properties of certain t-regular partitions

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

Certain Diophantine equations and new parity results for $21$ -regular partitions

Arithmetic properties of certain $t$ -regular partitions