PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.

Title:Generalized higher order spt-functions
Seminar:Combinatorics/Partitions Seminar
Speaker:Ae Ja Yee, PSU
Abstract:
Two fundamental statistics in the theory of partitions are Dyson's rank and the Andrews-Garvan crank, which provide combinatorial proofs of partition congruences modulo 5,7, and 11. Recently, Andrews introduced spt(n), the number of appearances of the smallest parts in all partitions of n, and he showed how spt(n) is related to the second rank and crank moments. Since the introduction, the spt-function has attracted a lot of attention due to its rich properties, in particular its connections to the partition function p(n), ranks, and cranks. In this talk, I will give a new generalization of spt(n). This is joint work with Atul Dixit from Tulane University.

Room Reservation Information

Room Number:MB106
Date:09 / 18 / 2012
Time:11:15am - 12:05pm