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Title:On the Rogers-Ramanujan and Ramanujan-Gollnitz-Gordon Continued Fractions
Author(s):Huang, Sen-Shan
Doctoral Committee Chair(s):Bruce, Berndt
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In a manuscript of Ramanujan, published with his Lost Notebook, there are forty identities involving the Rogers-Ramanujan functions. According to G. N. Watson, the beauty of these identities is comparable to that of the Rogers-Ramanujan identities. In the final chapter, we establish modular relations involving the Gollnitz-Gordon functions which are analogous to Ramanujan's forty identities. Furthermore, we extract interesting theorems on partitions from some of the modular relations.
Issue Date:1997
Type:Text
Language:English
Description:94 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.
URI:http://hdl.handle.net/2142/86947
Other Identifier(s):(MiAaPQ)AAI9737136
Date Available in IDEALS:2015-09-28
Date Deposited:1997


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