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University of Illinois at Urbana-Champaign
Some Results on the Congruential and Gap -Theoretic Study of Partition Functions
Abstract
dc:description"Recently, several authors have been treating partitions by considering the gaps between their consecutive parts. Many of the existing results involving ""partitions with parts in the gaps"" bear a striking resemblance to certain weighted partition identities that also arise from the gaps of partitions. In this thesis, we provide combinatorial proofs of several results from the literature involving partitions with parts in the gaps, and in doing so, we discover many generalizations of these original results. Furthermore, we show that these generalizations have several weighted partition identities from the literature as corollaries."
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Eichhorn, Dennis Alan
- Contributors dc:contributor
-
- Berndt, Bruce C.
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9953007
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86982