PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:The mock and mixed mock modularity of q-hypergeometric series
Seminar:Combinatorics/Partitions Seminar
Speaker:Robert Osburn
Abstract:
An intriguing and almost completely unsolved problem is to understand the overlap between classes of q-hypergeometric series and modular forms. This challenge was the subject of George Andrews' plenary address at the Millennial Conference on Number Theory and has its origin in Ramanujan's last letter to G.H. Hardy on January 12, 1920 whereby 17 mock theta functions were introduced. We discuss recent work concerning the explicit construction of new individual examples and infinite families of mock theta functions (in the modern sense of Zagier). Additionally, we discuss various ways to produce q-hypergeometric series which are mixed mock modular forms. This is joint work with Jeremy Lovejoy (Paris 7).

Room Reservation Information

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