A thesis submitted in fulfillment of the requirements for the degree of
Doctor of Philosophy (by production of original research) in Mathematics
School of Mathematics
University of the Witwatersrand
Johannesburg
December 2012 / Generating functions and asymptotic analysis have been used in four di er-
ent situations to establish new results for extremely well studied structures.
Later in this thesis a more detailed individual abstract for each of these
studies is provided. The four situations are:
A. Durfee square areas in integer partitions.
B. A study of the relationship between integer compositions and their
constituent partitions by specifying the asymptotic expectation of the
number of such partitions in arbitrary composition.
C. Similar to B above but focusing more on the generating functions rather
than on the expectations derived therefrom.
D. In the area of plane partitions with additional structure imposed upon
them.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/13015 |
| Date | 07 August 2013 |
| Creators | Blecher, Aubrey |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
Page generated in 0.0023 seconds