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}" }