3 papers
math.CO2026
Arithmetic Properties for -Color Analogue of Simultaneously -Regular and -Distinct Partitions
Anjelin Mariya Johnson, S. N. Fathima
In this article, we discuss general generating functions for partitions of , simultaneously -regular and -distinct in 3-colors. In addition, we obtain infinite families of…
math.CO2025
On recent Partition function of Kaur and Rana
Anjelin Mariya Johnson, S. N. Fathima
Recently, Kaur and Rana introduced the partition function denoted by , where the largest part appears exactly once, and the remaining parts constitute a partition of .…
math.NT2025
Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers
Anjelin Mariya Johnson, James A. Sellers, S. N. Fathima
Let denote the number of partitions of wherein even parts come in only one color, while the odd parts may be ``colored" with one of colors, for fixed . In this…