English

On Andrews' partitions with parts separated by parity

Number Theory 2021-08-31 v2

Abstract

In this paper, we present a generalization of one of the theorems in [G. E. Andrews, Partitions with parts separated by parity, \textit{Annals of Combinatorics} \textbf{23}(2019), 241 - 248], and give its bijective proof. Further variations of related partition functions are studied resulting in a number of interesting identities.

Keywords

Cite

@article{arxiv.1803.01406,
  title  = {On Andrews' partitions with parts separated by parity},
  author = {Abdulaziz M. Alanazi and Darlison Nyirenda},
  journal= {arXiv preprint arXiv:1803.01406},
  year   = {2021}
}

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10 pages