Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions
Huber, Timothy
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https://hdl.handle.net/2142/86884
Description
Title
Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions
Author(s)
Huber, Timothy
Issue Date
2007
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
Chapter 5 is devoted to the derivation of modular equations analogous to relations given by Ramanujan in Chapter 21 of his Second Notebook. We also use trigonometric interpolation to write many of Ramanujan's identities in terms of the Weierstrass ℘-function.
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