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arXiv · 2601.15680

Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts

M. P. Thejitha·James A. Sellers·S. N. Fathima
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Abstract

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 $r,s\ge 1$. The paper aims to study arithmetic properties satisfied by $a_{r,s}(n)$, using elementary generating function manipulations and classical $q$-series techniques.

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M. P. Thejitha, James A. Sellers, S. N. Fathima. 2026-01-22. Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts. https://arxiv.org/abs/2601.15680

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