Ankita Jindal

collaborators

4 papers

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

An extension of Schur's irreducibility result

Ankita Jindal, Sudesh Kaur Khanduja

Let $n \geq 2$ be an integer. Let $ϕ (x)$ belonging to $Z [x]$ be a monic polynomial which is irreducible modulo all primes less than or equal to $n$ . Let $a_0(x), a_1(x), \d…

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…

Arithmetic density and congruences of ℓ-regular bipartitions

An extension of Schur's irreducibility result

Infinite families of congruences for 2 and 13-core partitions

Arithmetic density and congruences of t-core partitions

Arithmetic density and congruences of $ℓ$ -regular bipartitions

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

Arithmetic density and congruences of $t$ -core partitions