Jayanta Barman

collaborators

3 papers

math.NT2026

Asymptotic Formula for Multipartitions

Jayanta Barman, Kamalakshya Mahatab

Let $p_{t} (N)$ denote the number of $t$ -multipartitions of a positive integer $N$ . In this article, we obtain an asymptotic formula for $p_{t} (N)$ , when $t ≪ N^{1 - ε}$ , for any $ε>…

math.NT2026

Asymptotic Formula for $(t + 1)$ -Regular Partitions

Jayanta Barman, Kamalakshya Mahatab

A partition is $t$ -regular if none of its parts is divisible by $t$ . Let $p (N, t)$ be the number of $(t + 1)$ -regular partitions of a positive integer $N$ . In 1971, Hagis proved an as…

math.NT2025

Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group

Jayanta Barman, Kamalakshya Mahatab

For any two partitions $λ$ and $μ$ of a positive integer $N$ , let $χ_{λ} (μ)$ be the value of the irreducible character of the symmetric group $S_{N}$ associated with $λ$ , evaluated a…

Asymptotic Formula for Multipartitions

Asymptotic Formula for (t+1)-Regular Partitions

Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group

Asymptotic Formula for $(t + 1)$ -Regular Partitions