Overpartition Ranks, Cranks, and Frobenius Representations

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/vq27zt39g

Descriptions

Attribute Name	Values
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 representations, which generalize the first and second Frobenius representations studied by Lovejoy. Keywords: Combinatorics, Number Theory, Hypergeometric Series, Partitions, Overpartitions
License	All rights reserved
Resource Type	Dissertation
Date Available	2017-06-26T23:19:43+00:00
Date Issued	2017-05-25
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2017
Advisor	Swisher, Holly M.
Committee Member	Cotilla-Sanchez, Eduardo Petsche, Clayton Schmidt, Thomas A. Flahive, Mary
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/61616

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