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Filtering by: Creator Petsche, Clayton Remove constraint Creator: Petsche, Clayton Advisor Swisher, Holly M. Remove constraint Advisor: Swisher, Holly M. Committee Member Cotilla-Sanchez, Eduardo Remove constraint Committee Member: Cotilla-Sanchez, Eduardo

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  • Overpartition Ranks, Cranks, and Frobenius Representations

    Creator:
    Morrill, Thomas
    Abstract:
    We generalize overpartition rank and crank generating functions to obtain k-fold variants, and give a combinatorial interpretation for each. The k-fold crank generating function is interpreted by extending the first and second residual cranks to a natural infinite family. The k-fold rank generating functions generate two families of buffered Frobenius...
    Resource Type:
    Dissertation