M. P. Thejitha

works on

continued fractions 1 even order 1 partition theory 1 ramanujan identities 1 theta functions 1

From the 1 of 6 linked papers with an AI index.

collaborators

Showing math.NTShow all

4 papers · 1 filter

math.NT2026

Generalization of Ramanujan's Continued Fractions for Even Order

Dipika Sarkar, S. N. Fathima, M. P. Thejitha

The paper derives three families of generalized continued fractions for any even order using a Ramanujan continued‑fraction identity, establishes associated theta‑function identiti…

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.NT2025

Arithmetic Properties of Partitions with 1-colored Even Parts and r-colored Odd Parts

M. P. Thejitha, S. N. Fathima

Recently, Hirschhorn and Sellers defined the partition function $a_{r} (n)$ , which counts the number of partitions of $n$ wherein even parts come in only one color, while the odd part…

math.NT2025

Vanishing Coefficients of q^{5n+r} and q^{7n+r} in Certain Infinite q-series Expansions

M. P. Thejitha, Anusree Anand, S. N. Fathima

Motivated by the recent work of several authors on vanishing coefficients of the arithmetic progression in certain $q$ -series expansion, we study some variants of these $q$ -series…