Long Concavity of the Power Partition Function

Benfield, B. (2020). Long Concavity of the Power Partition Function. Unc Charlotte Electronic Theses And Dissertations.

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Author: Benfield, Brennan
Title: Long Concavity of the Power Partition Function
Physical Description: 1 online resource (31 pages) : PDF
Date: 2020
Degree Granting Institution: University of North Carolina at Charlotte
Abstract: The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numerical evidence of certain in- teresting facts about the function Pk(n).
Genre: masters theses
Subjects--Topics: Mathematics
Degree: M.S.
Subject Area: Mathematics
Advisor(s): Roy, Arindam
Committee Members: Brian, William
Houston, Evan
Degree Note: Thesis (M.S.)--University of North Carolina at Charlotte, 2020.
Rights Statement: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). For additional information, see http://rightsstatements.org/page/InC/1.0/.
Rights Holder Information: Copyright is held by the author unless otherwise indicated.
Identifier: Benfield_uncc_0694N_12436
Permalink: http://hdl.handle.net/20.500.13093/etd:1955