S. Chandankumar

activity

20242026

collaborators

4 papers

math.NT2026

Arithmetic properties of the 2-color overpartition function $p_{ℓ} (n)$

H. S. Sumanth Bharadwaj, N. Sujatha, S. Chandankumar

We derive general families of Ramanujan-type congruences for the function $p_{ℓ} (n)$ , which counts the $2$ -color overpartitions of $n$ in which one of the colors appe…

math.CO2025

Extending Recent Congruence Results on $t$ -Schur overpartitions

K. C. Ajeyakashi, H. S. Sumanth Bharadwaj, S. Chandankumar

Recently, Nadji and Ahmia~\cite{nadji2021} introduced the notion of $t$ -Schur overpartitions and investigated their combinatorial and arithmetic properties. In this paper, we exten…

math.CO2025

Arithmetic properties of $(ℓ, m)$ -regular colored partitions

Yashas N., C. Shivashankar, S. Chandankumar

Let $b_{ℓ, m}^{k} (n)$ denotes the number of $k -$ colored partitions of $n$ into parts that are not multiples of $ℓ$ or $m$ . We establish several congruence relations for $b_{\e…

math.NT2024

Linear relations for the number of overpartitions into odd parts

Deepthi G., S. Chandankumar

Let $p_{o} (n)$ denote the number of overpartitions of $n$ into odd parts. The partition function $p_{o} (n)$ has been the subject of many recent studies where many…

Arithmetic properties of the 2-color overpartition function p​ℓ​(n)

Extending Recent Congruence Results on t-Schur overpartitions

Arithmetic properties of (ℓ,m)-regular colored partitions

Linear relations for the number of overpartitions into odd parts

Arithmetic properties of the 2-color overpartition function $p_{ℓ} (n)$

Extending Recent Congruence Results on $t$ -Schur overpartitions

Arithmetic properties of $(ℓ, m)$ -regular colored partitions