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University of Illinois at Urbana-Champaign
Contributions to Ramanujan's continued fractions, class invariants, partition identities and modular equations
Abstract
dc:descriptionVarious topics related to the work of Ramanujan are discussed in this thesis. In Chapter 2, we give a new proof of Ramanujan's famous partition identity modulo 5 (see (1.1)). This proof is an improvement of W. N. Bailey's proof given in 1952. We also establish a new proof of Ramanujan's partition identity modulo 7.
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
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Chan, Heng Huat
- Contributors dc:contributor
-
- Berndt, Bruce C.
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1995 Chan, Heng Huat
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9543549
(UMI)AAI9543549 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/23627