N. K. Meher

activity

20162026

most citedPrime powers in sums of terms of binary recurrence sequences

2 citations · 3 across the 13 of their papers we have counts for

collaborators

14 papers

math.NT2026

On the Moments of Least $s$ -Gaps of Partitions and a Conjecture of Baruah and Talukdar

Sourav Bhowmick, Nabin Kumar Meher

Andrews and Newman \cite{AN19, AN20} defined the minimal excludant or mex of a partition. The mex of a partition is the smallest positive integer which is absent from the partition…

math.NT2026

Moments of the Crank Statistic for $t$ -Core Partitions and Overpartitions

Sourav Bhowmick, Nabin Kumar Meher

Recently, Kang, Kim, and Lee \cite{Kang2026} developed a unified moment-trace framework for symmetric partition statistics using complete Bell polynomials and their inversion formu…

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 $\sum_{1 \leq n \leq x} d (n) = x lo g x + (2 γ - 1) x + O (x^{θ + ε})$ where $γ$ is the Euler constant, $ε > 0$ a…

math.NT2025

New Congruences on Biregular Overpartitions

N. K. Meher, Sourav Bhowmick

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

math.NT2024★ 1 cited

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 \…

math.NT2023

Analytic continuation of $ℓ$ -generalized Fibonacci zeta function

Dilip Kumar Sahoo, Nabin Kumar Meher

In this paper, for any positive integer $ℓ \geq 2,$ we define $ℓ$ -generalized Fibonacci zeta function. We then study its analytic continuation to the whole complex plane $\math…

math.NT2023

Infinite families of congruences for $2$ and $13$ -core partitions

Ankita Jindal, Nabin Kumar Meher

A partition of $n$ is called a $t$ -core partition if none of its hook number is divisible by $t .$ In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for $3$ -c…

math.NT2023

Arithmetic density and congruences of $t$ -core partitions

Nabin Kumar Meher, Ankita Jindal

A partition of $n$ is called a $t$ -core partition if none of its hook number is divisible by $t .$ In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for $3$ -c…

math.NT2020

$S$ -parts of sums of terms of linear recurrence sequences

S. S. Rout, N. K. Meher

Let $S = {p_{1}, \dots, p_{s}}$ be a finite, non-empty set of distinct prime numbers and $(U_{n})_{n \geq 0}$ be a linear recurrence sequence of integers of order $r$ . For any posit…

math.NT2020

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Nabin Kumar Meher, Sudhansu Sekhar Rout

In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$ -function associated to Dirichlet characters and additive charac…

math.NT2016

Linear combinations of prime powers in sums of terms of binary recurrence sequences

N. K. Meher, S. S. Rout

Let ${U_{n}}_{n \geq 0}$ be a non-degenerate binary recurrence sequence with positive discriminant. Let ${p_{1}, \dots, p_{s}}$ be fixed prime numbers and ${b_{1}, \dots, b_{s}}$ …

math.NT2016★ 2 cited

Prime powers in sums of terms of binary recurrence sequences

Eshita Mazumdar, S. S. Rout

Let ${u_{n}}_{n \geq 0}$ be a non-degenerate binary recurrence sequence with positive, square-free discriminant and $p$ be a fixed prime number. In this paper, we have shown the…

On the Moments of Least s-Gaps of Partitions and a Conjecture of Baruah and Talukdar

Moments of the Crank Statistic for t-Core Partitions and Overpartitions

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

Analytic continuation of ℓ-generalized Fibonacci zeta function

Infinite families of congruences for 2 and 13-core partitions

Arithmetic density and congruences of t-core partitions

S-parts of sums of terms of linear recurrence sequences

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Linear combinations of prime powers in sums of terms of binary recurrence sequences

Prime powers in sums of terms of binary recurrence sequences

On the Moments of Least $s$ -Gaps of Partitions and a Conjecture of Baruah and Talukdar

Moments of the Crank Statistic for $t$ -Core Partitions and Overpartitions

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

Analytic continuation of $ℓ$ -generalized Fibonacci zeta function

Infinite families of congruences for $2$ and $13$ -core partitions

Arithmetic density and congruences of $t$ -core partitions

$S$ -parts of sums of terms of linear recurrence sequences