For more information about this meeting, contact Mary Anne Raymond.

Title: | Partition Polynomials: Asymptotics and Zeros |

Seminar: | Combinatorics/Partitions Seminar |

Speaker: | Dr. Robert Boyer, Drexel |

Abstract: |

Let F_n (x) be the partition polynomial \sum_{k=1}^n p_k (n) x^k where p_k (n) is the number of partitions of n with k parts. We emphasize the computational experiments using degrees up to 70, 000 to discover the asymptotics of these polynomials. Surprisingly, the asymptotics of F_n (x) have two scales of orders n and \sqrt{n} in three different regimes inside the unit disk. Consequently, the zeros converge to a network of curves inside the unit disk given in terms of the dilogarithm. |

### Room Reservation Information

Room Number: | MB315 |

Date: | 09 / 11 / 2007 |

Time: | 03:35pm - 04:25pm |