PARTITIONS
The first part of the lecture will include an overview of the methods used
to study p(n), the number of partitions of n:
- Combinatorics
- q-series
- Modular forms
[
SLIDES - Overview
]
The second part of the lecture will include some more detailed
background on partitions:
- Definition
- Generating Functions
- Jacobi Triple Product, Euler's identity
- Sketch of proof of Ramanujan congruence modulo 5
- Ferrer's graph
- Conjugate partitions
- Durfee's Square
- Euler's Pentagonal Number Theorem
[
SLIDES - Partitions
]
[
PROBLEMS - Partitions
]
The url of this page is http://qseries.org/fgarvan/pqsmfconf/workshop-program/garthwaite-day1.html.
Created by
F.G. Garvan
(fgarvan@ufl.edu) on
Sunday, March 02, 2008.
Last update made Sun Mar 9 08:34:13 EDT 2008.
fgarvan@ufl.edu
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