B. Hemanthkumar

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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…

math.NT2025

Arithmetic properties of $2^{I^} \pm -$ Regular overpartition pairs

Hemanthkumar B., Sumanth Bharadwaj H. S

Recently, several mathematicians have investigated various partition functions with the goal of discovering Ramanujan-type congruences. One such function is $\overline{B}_{2^Î±}(n)…

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

Arithmetic properties of 2I^±−Regular overpartition pairs

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 $7$

Arithmetic properties of $2^{I^} \pm -$ Regular overpartition pairs