PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:On the Parity of the Number of Parts in Distinct-Part Partitions
Seminar:Combinatorics/Partitions Seminar
Speaker:James Sellers, PSU
Abstract:
We will consider relatively recent work by Knopfmacher and Robbins related to the function s(n) which counts the *number* of parts in distinct-part partitions of n. Interestingly enough, the function s(n) has a strong tendency to be even (although it is not clear, a priori, that this should be so). We will shed light on why this phenomenon occurs and then close by proving a number of Ramanujan-like congruences modulo 2 satisfied by s(n) using elementary means.

Room Reservation Information

Room Number:MB106
Date:03 / 19 / 2013
Time:11:15am - 12:05pm