D. S. Gireesh

collaborators

4 papers

math.CO2025

On $ℓ -$ regular and $2 -$ color partition triples modulo powers of $3$

B. Hemanthkumar, D. S. Gireesh

Let $T_{ℓ} (n)$ denote the number of $ℓ -$ regular partition triples of $n$ and let $p_{ℓ, 3} (n)$ enumerates the number of 2--color partition triples of $n$ where one of the co…

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.NT2025

On $7^{k}$ -regular partitions modulo powers of $7$

D. S. Gireesh, HemanthKumar B

In this study, we explore the arithmetic properties of $b_{7^{k}} (n)$ for any $k \geq 1$ , which enumerates the partitions of $n$ where no part is divisible by $7^{k}$ . By constructing ge…

On ℓ−regular and 2−color partition triples modulo powers of 3

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 7k-regular partitions modulo powers of 7

On $ℓ -$ regular and $2 -$ color partition triples modulo powers of $3$

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 $5^{k}$

On $7^{k}$ -regular partitions modulo powers of $7$