University of Illinois Urbana-Champaign

Contributions to Ramanujan's Theories of Modular Equations, Ramanujan-Type Series for 1/pi, and Partitions

Liaw, Wen-Chin

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https://hdl.handle.net/2142/86985

Description

Title
Contributions to Ramanujan's Theories of Modular Equations, Ramanujan-Type Series for 1/pi, and Partitions
Author(s)
Liaw, Wen-Chin
Issue Date
1999
Doctoral Committee Chair(s)
Berndt, Bruce C.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
In his Lost Notebook, Ramanujan recorded many important identities related to the generating function for the crank of partitions. In our last chapter, we explain the monotonicity of the coefficients for certain such generating functions and discuss their dissections.
Graduation Semester
1999
Type of Resource
text
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http://hdl.handle.net/2142/86985

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