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- W4287023193 abstract "We introduce a statistic on overpartitions called the $overline{k}$-rank. When there are no overlined parts, this coincides with the $k$-rank of a partition introduced by Garvan. Moreover, it reduces to the D-rank of an overpartition when $k=2$. The generating function for the $overline{k}$-rank of overpartitions is given. We also establish a relation between the generating function of self-3-conjugate overpartitions and the tenth order mock theta functions $X(q)$ and $chi(q)$." @default.
- W4287023193 created "2022-07-25" @default.
- W4287023193 creator A5048720225 @default.
- W4287023193 date "2021-08-19" @default.
- W4287023193 modified "2023-09-30" @default.
- W4287023193 title "Generalizations of Dyson's Rank on Overpartitions" @default.
- W4287023193 doi "https://doi.org/10.48550/arxiv.2108.08639" @default.
- W4287023193 hasPublicationYear "2021" @default.
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