Distribution of 3-regular and 5-regular partitions

Qi-Yang Zheng

Distribution of 3-regular and 5-regular partitions

Number Theory 2022-10-11 v7

Authors: Qi-Yang Zheng

Abstract

In this paper we study the function $b_3(n)$ and $b_5(n)$ , which denote the number of $3$ -regular partitions and $5$ -regular partitions of $n$ respectively. Using the theory of modular forms, we prove several arithmetic properties of $b_3(n)$ and $b_5(n)$ modulo primes greater than $3$ .

Keywords

partition congruences partition theory

Cite

@article{arxiv.2205.03191,
  title  = {Distribution of 3-regular and 5-regular partitions},
  author = {Qi-Yang Zheng},
  journal= {arXiv preprint arXiv:2205.03191},
  year   = {2022}
}

Comments

typos corrected

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