Overpartition Ranks, Cranks, and Frobenius Representations Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vq27zt39g

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  • 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 representations, which generalize the first and second Frobenius representations studied by Lovejoy.
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