DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Co-organizers:

Drew Sills, Rutgers University, asills {at} math [dot] rutgers [dot] edu g

Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Partition Analysis and the Search for Modular Forms

Speaker: George Andrews, Pennsylvania State University

Date: Thursday, April 19, 2007 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

This talk will introduce P.A. MacMahon's method of partition analysis. We will the discuss some of its applications including our most recent discovery of certain partitions realted to directed graphs that have modular forms as generating functions and consequently have a variety of interesting related arithmetical problems and prospects. This work is joint with Peter Paule and Axel Riese.