PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Infinitely Many Congruence for Broken 2-Diamond Partitions Modulo 3
Seminar:Combinatorics/Partitions Seminar
Speaker:James Sellers, PSU
Abstract:
In 2007, Andrews and Paule introduced the family of functions Delta_k(n) which enumerate the number of broken k-diamond partitions of n for a fixed positive integer k. Since then, numerous mathematicians have considered partitions congruences satis fied by Delta_ k(n) for small values of k. In this work, we focus our attention on the function Delta_2(n) and explicitly identify infi nitely many Ramanujan-like congruences modulo 3 which are satis fied by this function. This is joint work with Silviu Radu, Research Institute for Symbolic Computation, Austria.

Room Reservation Information

Room Number:MB106
Date:09 / 04 / 2012
Time:11:15am - 12:05pm