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University of Illinois at Urbana-Champaign
Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities
Abstract
dc:descriptionChapter 4 is devoted to finding new partition identities inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations, and then derive new identities satisfied by n=0infinity p(ln + k) qn, where p(n) is the ordinary partition function, l is an odd prime, and 0 ≤ k ≤ (l - 1).
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
-
- Hahn, Heekyoung
- Contributors dc:contributor
-
- Berndt, Bruce C.
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3153311
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86836