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Title:On Cranks of Partitions, Generalized Lambert Series, and Basic Hypergeometric Series
Author(s):Chan, Song Heng
Doctoral Committee Chair(s):Berndt, Bruce C.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In 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.
Issue Date:2005
Type:Text
Language:English
Description:101 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.
URI:http://hdl.handle.net/2142/86850
Other Identifier(s):(MiAaPQ)AAI3182234
Date Available in IDEALS:2015-09-28
Date Deposited:2005


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