M. P. Thejitha

collaborators

3 papers

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…