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University of Illinois at Urbana-Champaign
On Cranks of Partitions, Generalized Lambert Series, and Basic Hypergeometric Series
Abstract
dc:descriptionIn Chapters 4 and 5, we apply the same method used in Chapter 3 on basic hypergeometric series. In Chapter 4, we present a new proof of Ramanujan's 10, summation formula. And finally, in Chapter 5, we present a new proof of a general transformation formula for basic hypergeometric series that was discovered by D. B. Sears in 1951. We also discuss some special cases.
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
-
- Chan, Song Heng
- Contributors dc:contributor
-
- Berndt, Bruce C.
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI3182234
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86850