Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Andrew Baxter**, Rutgers University, baxter{at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: A generalization of Algorithm-Z with an application

Speaker: **Kagan Kursungoz**, Penn State University

Date: Thursday, February 3, 2011 5:00pm

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

Abstract:

We will review algorithm-Z, and show how it is used in proving the q-binomial theorem bijectively. Then we will describe a generalization with one additional parameter, and show how this is used in proving the q-Gauss summation formula bijectively. If time allows, we will discuss possibilities for future research. This is joint work with Ae Ja Yee (Penn State).