B. Hemanthkumar

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math.CO2026

On an Overpartition Analogue of $S O M E (n)$

D. S. Gireesh, B. Hemanthkumar

Recently, Andrews and Dastidar introduced the partition function $S O M E (n)$ , defined as the sum of all the odd parts in the partitions of $n$ minus the sum of all the even parts in…

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…

On an Overpartition Analogue of SOME(n)

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

On an Overpartition Analogue of $S O M E (n)$

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