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math.CO2026
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…
math.CO2025
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…
math.CO2022
Partition-theoretic interpretation for certain truncated series
D. S. Gireesh, B. Hemanthkumar
In this article, we provide partition-theoretic interpretations for some new truncated pentagonal number theorem and identities of Gauss. Also, we deduce few inequalities for some…