For more information about this meeting, contact Matthew Katz, James Sellers, George Andrews.
|Title:||Fraenkel's Conjecture on Divisibility of the Ternary Partition Function|
|Speaker:||James Sellers, PSU|
|In this talk, we will focus our attention on m-ary partitions which are integer partitions wherein each part must be a power of a fixed integer m>1. Since the late 1960s, numerous mathematicians (including Churchhouse, Andrews, Gupta, Rodseth, and Sellers) have studied divisibility properties of m-ary partitions. In this talk, I will describe a novel and unexpected conjecture communicated to me by Aviezri Fraenkel which characterizes the divisibility of the ternary partition function b_3(n) based on the base 3 representation of n. I will provide a proof of this result, and will close with a wonderful generalization that follows quite naturally. This is joint work with George Andrews.|
Room Reservation Information
|Date:||10 / 29 / 2013|
|Time:||10:10am - 11:00am|