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arXiv 1702.03558math.NT
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两类超划分的缓冲Frobenius表示

Two Families of Buffered Frobenius Representations of Overpartitions

Thomas Morrill

摘要:

我们推广的生成系列的戴森秩和$M_2$秩的overpartition获得$k$倍的变体,并给出了组合的解释。的$k$倍生成系列对应于两个家庭的缓冲Frobenius表示,推广Lovejoy的第一和第二Frobenius表示的超分区,分别满秩。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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