Albion College Mathematics and Computer Science Colloquium

 Title: Is the whole really greater than the sum of its parts? Exploring partitions of numbers Speaker: Stephanie TreneerGraduate StudentDepartment of MathematicsUniveristy 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:StephanieTreneerGraduateStudentDepartmentofMathematicsUniveristyofIllinoisatUrbana-Champaign:2006:1:26,
author  = "{Stephanie TreneerGraduate StudentDepartment of MathematicsUniveristy 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}"
}