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University of Illinois at Urbana-Champaign

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

Abstract

dc:description

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.

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
  • Chan, O-Yeat
Contributors dc:contributor
  • Berndt, Bruce C.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3223557
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/86858

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

Chan, O-Yeat. Investigations Into Cranks of Partitions, Trigonometric Sums, and Q-Integrals. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/86858