C. Shivashankar

most citedOn 3 and 9-regular cubic partitions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

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.NT2025

On 2-color partitions where one of the colors is multiples of $7^{k}$

D. S. Gireesh, Shivashankar C., HemanthKumar B

In this work, we investigate the arithmetic properties of $p_{1, 7^{k}} (n)$ , which counts 2-color partitions of $n$ where one of the colors appears only in parts that are multiples of…

math.NT2025

On 2-color partitions where one of the color is multiples of $5^{k}$

Shivashankar C., HemanthKumar B., D. S. Gireesh

In this work, we investigate the arithmetic properties of $p_{1, 5^{k}} (n)$ , which counts 2-color partitions of $n$ where one of the colors appears only in parts that are multiples of…

math.NT2019★ 1 cited

On 3 and 9-regular cubic partitions

D. S. Gireesh, M. S. Mahadeva Naika, Shivashankar C

Let $a_{3} (n)$ and $a_{9} (n)$ are 3 and 9-regular cubic partitions of $n$ . In this paper, we find the infinite family of congruences modulo powers of 3 for $a_{3} (n)$ and $a_{9} (n)$ such a…

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

On 2-color partitions where one of the colors is multiples of 7k

On 2-color partitions where one of the color is multiples of 5k

On 3 and 9-regular cubic partitions

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

On 2-color partitions where one of the colors is multiples of $7^{k}$

On 2-color partitions where one of the color is multiples of $5^{k}$