S. N. Fathima

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math.NT2026

Arithmetic Properties of Overcolored Odd Partitions

M. P. Thejitha, S. N. Fathima

Let $a ˉ_{s} (n)$ denote the number of partitions of $n$ , wherein each odd part is multicolored (atmost $s \geq 1$ colors) and the first appearance of parts may be overlined. In thi…

math.NT2026

On Ramanujan's $q$ -Continued Fractions of Order Thirty-Four and Sixty-Eight

Dipika Sarkar, S. N. Fathima

We derived $q$ -continued fractions $X_{i} (q)$ of order thirty-four and continued fractions $Y_{i} (q)$ of order sixty-eight from a general continued fraction identity of Ramanujan, wher…

math.NT2025

Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers

Anjelin Mariya Johnson, James A. Sellers, S. N. Fathima

Let $a_{k} (n)$ denote the number of partitions of $n$ wherein even parts come in only one color, while the odd parts may be ``colored" with one of $k$ colors, for fixed $k$ . In this…

Arithmetic Properties of Overcolored Odd Partitions

On Ramanujan's q-Continued Fractions of Order Thirty-Four and Sixty-Eight

Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers

On Ramanujan's $q$ -Continued Fractions of Order Thirty-Four and Sixty-Eight