- Start Date:
June 8, 2006
- Event Start Time:
12:00 PM
- Event End Time:
1:00 PM
- Organizers:
Christine Agnese
- Seminar Series:
REU Seminar
- Presenter(s):
Andrew Sills - Rutgers University
- Event Location:
DIMACS Seminar room
- Abstract:
A partition of an integer n is a representation of n as a sum of positive integers where the order of the summands is considered irrelevant. Thus there are five partitions of the integer 4, namely 1+1+1+1, 2+1+1, 2+2, 3+1, and 4 itself. Partitions were first studied systematically by Euler in the eighteenth century; nonetheless partitions continue to be an active field of research today, employing techniques from combinatorics, classical analysis, the theory of modular forms, and other areas of mathematics. I plan to talk about some of the classical results which can be obtained by elementary methods.