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Berndt, Bruce C. Hahn, Heekyoung 2015-09-28T15:19:47Z 2015-09-28T15:19:47Z 10000-01-01 2004 2004 Chapter 4 is devoted to finding new partition identities inspired by the work of O. Kolberg and S. Ramanujan. We use functions studied by N. J. Fine and R. J. Evans to construct analogues of modular equations, and then derive new identities satisfied by n=0infinity p(ln + k) qn, where p(n) is the ordinary partition function, l is an odd prime, and 0 ≤ k ≤ (l - 1). Made available in DSpace on 2015-09-28T15:19:47Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3153311.pdf: 6092425 bytes, checksum: 740839551013f6cfe3c52376e182a1f9 (MD5) Previous issue date: 2004 Embargo set by: Seth Robbins for item 88117 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 130 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004. http://hdl.handle.net/2142/86836 (MiAaPQ)AAI3153311 eng Mathematics Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.