M. P. Thejitha

collaborators

9 papers

math.NT2026

Congruences for Overcolored Partition $k$ -tuples Restricted by Parity of the Parts

M. P. Thejitha, S. N. Fathima

In recent work, authors defined $b ˉ_{r, s}^{k} (n)$ to be the number of overcolored partition $k$ -tuples wherein both even and odd parts are colored with $r$ and $s$ colors, respe…

math.NT2026

A Note On Certain Minimal Excludants Over Overpartitions

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

Let $σ Mex (n)$ and $σ_{e} Mex (n)$ denote the sum of minimal excludants and sum of even minimal excludants over all overpartitions, respectively. In this work, we stud…

math.NT2026

Overcolored Partition $k$ -tuples Restricted by Parity of the Parts

M. P. Thejitha, S. N. Fathima

In this paper, we study the combinatorial object $b ˉ_{r, s}^{k} (n)$ which counts the overcolored partition $k$ -tuples wherein both even and odd parts are colored with $r$ and $s$ …

math.NT2026

Generalization of Ramanujan's Continued Fractions for Even Order

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

In this paper, we derive three generalized continued fractions of any even order $k$ with the aid of a general continued fraction identity of Ramanujan and we establish general the…

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.CO2026

Overcolored Partition Restricted by Parity of the Parts

M. P. Thejitha, S. N. Fathima

Very recently, Thejitha, Sellers, and Fathima defined the function $a_{r, s} (n)$ , which enumerates the number of multicolored partitions of $n$ , wherein both even parts and odd part…

math.CO2026

Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts

M. P. Thejitha, James A. Sellers, S. N. Fathima

Let $a_{r, s} (n)$ denote the number of mutlicolored partitions of $n$ , wherein both even parts and odd parts may appear in one of $r$ -colors and $s$ -colors, respectively, for fixed…

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…

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…

Congruences for Overcolored Partition k-tuples Restricted by Parity of the Parts

A Note On Certain Minimal Excludants Over Overpartitions

Overcolored Partition k-tuples Restricted by Parity of the Parts

Generalization of Ramanujan's Continued Fractions for Even Order

Arithmetic Properties of Overcolored Odd Partitions

Overcolored Partition Restricted by Parity of the Parts

Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts

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

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

Congruences for Overcolored Partition $k$ -tuples Restricted by Parity of the Parts

Overcolored Partition $k$ -tuples Restricted by Parity of the Parts