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Long Concavity of the Power Partition Function
Benfield, Brennan
2020
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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).

Details

Title
Long Concavity of the Power Partition Function
Author
Benfield, Brennan (Mathematics)
Contributor
ProQuest (Firm) Contributor
University of North Carolina at Charlotte Degree Granting Institution
Roy, Arindam Thesis Advisor
Brian, William Committee Member
Houston, Evan Committee Member
Date
2020
Publisher
University of North Carolina at Charlotte
Subjects
Link to This Page
Handle: http://hdl.handle.net/20.500.13093/etd:1955
Publication Type
masters theses
Pagination
1 online resource (31 pages) : PDF
File Format
application/pdf
Degree Type
M.S.
Usage 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/., (http://rightsstatements.org/page/InC/1.0/)
Copyright is held by the author unless otherwise indicated.
Record Appears in
Departments and Institutes > Mathematics
Types > Masters Theses
Graduate Theses and Dissertations
Graduate Thesis and Dissertations

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