• 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.