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University of Illinois at Urbana-Champaign

Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions

Abstract

dc:description

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.

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
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Huber, Timothy
Contributors dc:contributor
  • Berndt, Bruce C.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3290253
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86884

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Huber, Timothy. Zeros of Generalized Rogers -Ramanujan Series and Topics From Ramanujan's Theory of Elliptic Functions. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86884