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arXiv · 1702.03558

Two Families of Buffered Frobenius Representations of Overpartitions

Thomas Morrill
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Abstract

We generalize the generating series of the Dyson ranks and $M_2$-ranks of overpartitions to obtain $k$-fold variants, and give a combinatorial interpretation of each. The $k$-fold generating series correspond to the full ranks of two families of buffered Frobenius representations, which generalize Lovejoy's first and second Frobenius representations of overpartitions, respectively.

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Thomas Morrill. 2017-02-12. Two Families of Buffered Frobenius Representations of Overpartitions. https://doi.org/10.1007/s00026-019-00419-w

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