2026-09-22T02:00:17Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86985 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Embargo set by: Seth Robbins for item 88266 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only Berndt, Bruce C. Liaw, Wen-Chin 2015-09-28T15:20:28Z 2015-09-28T15:20:28Z 10000-01-01 1999 1999 In his Lost Notebook, Ramanujan recorded many important identities related to the generating function for the crank of partitions. In our last chapter, we explain the monotonicity of the coefficients for certain such generating functions and discuss their dissections. Made available in DSpace on 2015-09-28T15:20:28Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9953081.pdf: 3112558 bytes, checksum: 5df5f3310a451e31f893caa27eebe509 (MD5) Previous issue date: 1999 92 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999. http://hdl.handle.net/2142/86985 (MiAaPQ)AAI9953081 eng Mathematics Contributions to Ramanujan's Theories of Modular Equations, Ramanujan-Type Series for 1/pi, and Partitions text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.