SUMMER A Special Topics Course - Partitions and q-series
Instructor: F. Garvan  (http://www.math.ufl.edu/~frank)
Course Number: MAT6932
Section: 0714
Period: 5
Room: LIT125
Text: The Theory of Partitions (Cambridge Mathematical Library)
      by George E. Andrews
      Paperback: 271 pages
      Publisher: Cambridge University Press; Reprint edition (July 28, 1998)
      ISBN: 052163766X

Prerequisite: No formal prerequisite

Interest: This course should be of interest to students from combinatorics
          and/or number theory

Description:
We will begin the course by studying the partition function p(n), which
is the number of ways of expressing n as a sum of positive integers
disregarding order.  There are different ways to study partitions. We will
cover elementary, combinatorial, number theoretic techniques and the 
theory of q-series (basic hypergeometric functions). In particular,
we will look at Ramanujan's partition congruences in detail and describe
some recent research. We will also use MAPLE (computer algebra system) to
study, discover and prove identities.  Other aspects may be covered depending 
on time and interest of students.