Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities

Hahn, Heekyoung

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Title:	Eisenstein Series, Analogues of the Rogers -Ramanujan Functions, and Partition Identities
Author(s):	Hahn, Heekyoung
Doctoral Committee Chair(s):	Berndt, Bruce C.
Department / Program:	Mathematics
Discipline:	Mathematics
Degree Granting Institution:	University of Illinois at Urbana-Champaign
Degree:	Ph.D.
Genre:	Dissertation
Subject(s):	Mathematics
Abstract:	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).
Issue Date:	2004
Type:	Text
Language:	English
Description:	130 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
URI:	http://hdl.handle.net/2142/86836
Other Identifier(s):	(MiAaPQ)AAI3153311
Date Available in IDEALS:	2015-09-28
Date Deposited:	2004