New congruences for 4,6-regular partitions modulo primes

2023/08/09 by Zheng, Qi-Yang
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.04752

Abstract

The main result of the paper is the existence of an infinitely many families of Ramanujan-type congruences for b₄(n) and b₆(n) modulo primes m ≥ 2 and m ≥ 5, respectively. We provide new examples of congruences for b₄(n) and b₆(n). Moreover, we find two infinite explicit infinite families of congruences for b₄(n) modulo 3.

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