PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:Eta-quotients and theta functions
Seminar:Combinatorics/Partitions Seminar
Speaker:Robert Lemke Oliver, University of Wisconsin-Madison
Abstract:
The Jacobi Triple Product Identity gives a closed form for many infinite product generating functions that arise naturally in combinatorics and number theory. Of particular interest is its application to Dedekind's eta-function $\eta(z)$, defined via an infinite product, giving it as a certain kind of infinite sum known as a theta function. Using the theory of modular forms, we classify all eta-quotients that are theta functions.

Room Reservation Information

Room Number:MB216
Date:11 / 18 / 2010
Time:10:10am - 11:00am