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arXiv · 2004.02292

Parity Considerations for Mex-Related Partition Functions of Andrews and Newman

Robson da Silva·James A. Sellers
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Abstract

In a recent paper, Andrews and Newman extended the mex-function to integer partitions and proved many partition identities connected with these functions. In this paper, we present parity considerations of one of the families of functions they studied, namely $p_{t,t}(n)$. Among our results, we provide complete parity characterizations of $p_{1,1}(n)$ and $p_{3,3}(n)$.

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Robson da Silva, James A. Sellers. 2020-04-05. Parity Considerations for Mex-Related Partition Functions of Andrews and Newman. https://arxiv.org/abs/2004.02292

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