3 papers
math.NT2026
Untrodden pathways in the study of partitions with parts separated by parity
Nargish Punia, Rahul Kumar
In this paper, we study a partition function with parts separated by parity from a family of partition functions introduced by Andrews in 2019. We first show that its generating fu…
math.CO2026
On -color mex-related partition functions
Nargish Punia
In this paper, we investigate a set of -color partitions and examine how its subsets relates to the theory of the minimal excludant function introduced by Andrews and Newman. Fu…
math.CO2026
On Partition Classes Arising from Parity, Differences, and Repeated Smallest Parts
Rahul Kumar, Nargish Punia
In this paper, we study various classes of partition functions such as those related to the parity of the number of parts, to differences of partition numbers, and to partitions wi…