Ajit Singh

collaborators

3 papers

math.NT2023

Parity distribution and divisibility of Mex-related partition functions

Subhrajyoti Bhattacharyya, Rupam Barman, Ajit Singh +1

Andrews and Newman introduced the mex-function $mex_{A, a} (λ)$ for an integer partition $λ$ of a positive integer $n$ as the smallest positive integer congruent to $a$ modulo…

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…

Parity distribution and divisibility of Mex-related partition functions

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

Arithmetic properties of certain t-regular partitions

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

Arithmetic properties of certain $t$ -regular partitions