| Title: | Is the whole really greater than the sum of its parts? Exploring partitions of numbers |
| Speaker: | Stephanie Treneer Graduate Student Department of Mathematics Univeristy of Illinois at Urbana-Champaign |
| Abstract: | A partition of a positive integer n is a sequence of positive integers that sum to n. The partition function p(n) counts the partitions of n without regard to order. This deceptively simple function has led to a rich theory. We'll look at two elementary methods for analyzing partitions: Ferrers graphs and generating functions, and then briefly discuss how the theory of modular forms has led to some recent surprising results about p(n). |
| Location: | Palenske 227 |
| Date: | 1/26/2006 |
| Time: | 3:10 PM |
@abstract{MCS:Colloquium:StephanieTreneer
GraduateStudent
DepartmentofMathematics
UniveristyofIllinoisatUrbana-Champaign:2006:1:26,
author = "{Stephanie Treneer
Graduate Student
Department of Mathematics
Univeristy of Illinois at Urbana-Champaign}",
title = "{Is the whole really greater than the sum of its parts? Exploring partitions of numbers}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{26 January}",
year = "{2006}"
}