2026-09-19T14:35:37Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86972 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Berndt, Bruce C. Choi, Youn-Seo 2015-09-28T15:20:25Z 2015-09-28T15:20:25Z 10000-01-01 1999 1999 S. Ramanujan's last letter to G. H. Hardy contains the definition of mock theta functions, a list of 17 mock theta functions, and 5 identities related to mock theta functions. Also, Ramanujan's lost notebook contains many further results on mock theta functions. In particular, the lost notebook contains eight identities for tenth order mock theta functions which heretofore have not been proved. It is the purpose of this thesis to prove the first four of Ramanujan's tenth order mock theta function identities. Although in this paper the Bailey pair method developed by G. E. Andrews and the constant term method developed by D. Hickerson are playing key roles, the other main idea is transforming mock theta function identities into the theta function identities. Made available in DSpace on 2015-09-28T15:20:25Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9944820.pdf: 5769380 bytes, checksum: 8ed246a6af746fe263bce1a0efef3a56 (MD5) Previous issue date: 1999 Embargo set by: Seth Robbins for item 88253 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 175 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999. http://hdl.handle.net/2142/86972 (MiAaPQ)AAI9944820 eng Mathematics Tenth Order Mock Theta Functions in Ramanujan's Lost Notebook text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.