Files in this item
Files | Description | Format |
---|---|---|
application/pdf ![]() ![]() | (no description provided) |
Description
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 |
This item appears in the following Collection(s)
-
Dissertations and Theses - Mathematics
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois