Arithmetic Properties of Partitions with Even Parts Distinct
For more information about this meeting, contact Barbara Baum.
Speaker: Dr. James Sellers, Department of Mathematics, The Pennsylvania State University
Abstract: In this work, we consider the function ped(n), the number of partitions of an integer n wherein the even parts are distinct (and the odd parts are unrestricted). Our goal is to consider this function from an arithmetical point of view in the spirit of Ramanujan's congruences for the unrestricted partition function p(n). We prove a number of results for ped(n) including the following: For all n, ped(9n+4) = 0 (mod 4) and ped(9n+7) = 0 (mod 12). The techniques used to prove these results are quite elementary. This is joint work with George Andrews (Penn State) and Michael Hirschhorn (University of New South Wales).
Room Reservation Information
Room Number: 106 McAllister
Time: 11:15am - 12:05pm