N. K. Meher

collaborators

5 papers

math.NT2025

On the number of irreducible representations of $\so(5)$

Saudamini Nayak, Nabin Kumar Meher, Sudhansu Sekhar Rout

Let $d (n)$ be the divisor function and it is well known that $\sum_{1 \leq n \leq x} d (n) = x lo g x + (2 I^^{3} - 1) x + O (x^{I^¸ + I^µ})$ where $I^^{3}$ is the Euler constant, $Îµ…

math.NT2025

New Congruences on Biregular Overpartitions

N. K. Meher, Sourav Bhowmick

Recently, Nadji, Ahmia and RamÃrez \cite{Nadji2025} investigated the arithmetic properties of $B ˉ_{ℓ_{1}, ℓ_{2}} (n)$ , the number of overpartitions where no part is divisibl…

math.NT2024

Distribution and congruences of $(u, v)$ -regular bipartitions

Nabin Kumar Meher

Let $B_{u, v} (n)$ denote the number of $(u, v)$ -regular bipartitions of $n$ . In this article, we prove that $B_{p, m} (n)$ is always almost divisible by $p,$ where $p \geq 5$ is a prime…

math.NT2024

Arithmetic density and congruences of $ℓ$ -regular bipartitions $I I$

Nabin Kumar Meher

Let $B_{ℓ} (n)$ denote the number of $ℓ -$ regular bipartitions of $n .$ In 2013, Lin \cite{Lin2013} proved a density result for $B_{4} (n) .$ He showed that for any positive intege…

math.NT2024

Arithmetic density and congruences of $ℓ$ -regular bipartitions

Nabin Kumar Meher, Ankita Jindal

Let $B_{ℓ} (n)$ denote the number of $ℓ$ -regular bipartitions of $n .$ In this article, we prove that $B_{ℓ} (n)$ is always almost divisible by $p_{i}^{j}$ if $p_i^{2a_i}\geq \…

On the number of irreducible representations of $\so(5)$

New Congruences on Biregular Overpartitions

Distribution and congruences of (u,v)-regular bipartitions

Arithmetic density and congruences of ℓ-regular bipartitions II

Arithmetic density and congruences of ℓ-regular bipartitions

Distribution and congruences of $(u, v)$ -regular bipartitions

Arithmetic density and congruences of $ℓ$ -regular bipartitions $I I$

Arithmetic density and congruences of $ℓ$ -regular bipartitions