James A. Sellers

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

Elementary Proofs and Generalizations of Recent Congruences of Thejitha and Fathima

James A. Sellers

Motivated by recent work of Hirschhorn and the author, Thejitha and Fathima recently considered arithmetic properties satisfied by the function $a_{5} (n)$ which counts the number of…

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…