6 papers
On an Overpartition Analogue of
D. S. Gireesh, B. Hemanthkumar
Recently, Andrews and Dastidar introduced the partition function , defined as the sum of all the odd parts in the partitions of minus the sum of all the even parts in…
On regular and color partition triples modulo powers of
B. Hemanthkumar, D. S. Gireesh
Let denote the number of regular partition triples of and let enumerates the number of 2--color partition triples of where one of the co…
On 2-color partitions where one of the colors is multiples of
D. S. Gireesh, Shivashankar C., HemanthKumar B
In this work, we investigate the arithmetic properties of , which counts 2-color partitions of where one of the colors appears only in parts that are multiples of…
On 2-color partitions where one of the color is multiples of
Shivashankar C., HemanthKumar B., D. S. Gireesh
In this work, we investigate the arithmetic properties of , which counts 2-color partitions of where one of the colors appears only in parts that are multiples of…
On -regular partitions modulo powers of
D. S. Gireesh, HemanthKumar B
In this study, we explore the arithmetic properties of for any , which enumerates the partitions of where no part is divisible by . By constructing ge…
Arithmetic properties of 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^α}(n)…