colored partitions 1congruences 1generating functions 1partition theory 1regular and distinct partitions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
Arithmetic Properties for -Color Analogue of Simultaneously -Regular and -Distinct Partitions
Anjelin Mariya Johnson, S. N. Fathima
The paper studies generating functions for three‑color partitions that are simultaneously s‑regular and t‑distinct, and proves infinite families of congruences modulo powers of 3 f…
math.NT2026
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…
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 $Î…