PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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