From the 1 of 5 linked papers with an AI index.
5 papers
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…
Arithmetic Properties of Overcolored Odd Partitions
M. P. Thejitha, S. N. Fathima
Let denote the number of partitions of , wherein each odd part is multicolored (atmost colors) and the first appearance of parts may be overlined. In thi…
On Ramanujan's -Continued Fractions of Order Thirty-Four and Sixty-Eight
Dipika Sarkar, S. N. Fathima
We derived -continued fractions of order thirty-four and continued fractions of order sixty-eight from a general continued fraction identity of Ramanujan, wher…
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…
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…