Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals

Chan, O-Yeat

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Title:	Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals
Author(s):	Chan, O-Yeat
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:	Finally, we prove generalizations of integrals found on page 201 of Ramanujan's Lost Notebook. We also prove several results related to the integrals on page 201. Our integral evaluations follow from well-known product-series identities from the theory of q-series.
Issue Date:	2006
Type:	Text
Language:	English
Description:	127 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:	http://hdl.handle.net/2142/86858
Other Identifier(s):	(MiAaPQ)AAI3223557
Date Available in IDEALS:	2015-09-28
Date Deposited:	2006