Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals
Chan, O-Yeat
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https://hdl.handle.net/2142/86858
Description
Title
Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals
Author(s)
Chan, O-Yeat
Issue Date
2006
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
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.
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