 CARMA COLLOQUIUM
 Speaker: Eric Mortenson, School of Mathematics and Physics, The University of Queensland
 Title: Ramanujan, partitions, and mock theta functions
 Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle
 Time and Date: 4:00 pm, Thu, 11^{th} Nov 2010
 Abstract:
We will give a brief overview and of the history of Ramanujan and give samplings of areas such as partitions, partition congruences, ranks, modular forms, and mock theta functions.
For example: A partition of a positive number $n$ is a nonincreasing sequence of positive integers whose sum is $n$. There are five partitions of the number four: 4, 3+1, 2+2, 2+1+1, 1,1,1,1. If we let $p(n)$ be the number of partitions of $n$, it turns out that $p(5n+4)\equiv \pmod{5}$. How does one explain this?
Once the basics and context have been introduced, we will discuss new results with respect to mock theta functions and show how they relate to old and recent results.
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