Jayanta Barman

collaborators

5 papers

math.NT2026

Asymptotic Formula for Biregular Overpartitions

Jayanta Barman

Let $p ˉ_{s, t} (N)$ be the number of overpartitions of $N$ into parts that are not divisible by $s$ or $t$ . In this paper, we obtain asymptotic formulas for $p ˉ_{s, t} (N)$ f…

math.CO2026

Zeros in The Character Table of The Wreath Product of The Symmetric Group

Jayanta Barman, Kamalakshya Mahatab

Let $G$ be a finite group with $t$ conjugacy classes, and let $S_{N}$ be the symmetric group. Let $Z_{t} (N)$ be the number of zeros in the character table of the wreath product $G\wr S…

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 Biregular Overpartitions

Zeros in The Character Table of The Wreath Product of The Symmetric Group

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