Affiliation:
1. Department of Mathematical Sciences, Tezpur University, Napaam 784028, Assam, India
Abstract
Let [Formula: see text] and [Formula: see text] count the 8-colored partitions of n into odd parts and the 2k-color partitions of n into odd parts, respectively, where the multiples of r can appear in 2k colors and the others can appear in k colors. In this paper, we find infinite families of congruences modulo powers of 2 for [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text].
Funder
science and engineering research board
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory