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arxiv: 1803.01406 · v2 · pith:QT54ZJMEnew · submitted 2018-03-04 · 🧮 math.NT

On Andrews' partitions with parts separated by parity

classification 🧮 math.NT
keywords andrewsparitypartitionspartsseparatedannalsbijectivecombinatorics
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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.

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