A. Singh

activity

20172026

most citedMex-related partitions and relations to ordinary partition and singular overpartitions

2 citations · 2 across the 10 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Proof of some conjectural congruences of da Silva and Sellers

Ajit Singh, Rupam Barman

Let $p_{{3, 3}} (n)$ denote the number of $3$ -regular partitions in three colours. In a very recent paper, da Silva and Sellers studied certain arithmetic properties of $p_{\{3, 3…

math.NT2021

Divisibility of certain $ℓ$ -regular partitions by $2$

Ajit Singh, Rupam Barman

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

math.NT2021

Eta-quotients and divisibility of certain partition functions by powers of primes

Ajit Singh, Rupam Barman

Andrews' $(k, i)$ -singular overpartition function $C_{k, i} (n)$ counts the number of overpartitions of $n$ in which no part is divisible by $k$ and only parts $\equiv \p…

Proof of some conjectural congruences of da Silva and Sellers

Divisibility of certain ℓ-regular partitions by 2

Eta-quotients and divisibility of certain partition functions by powers of primes

Divisibility of certain $ℓ$ -regular partitions by $2$