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Graduate Student Number Theory Learning Seminar

Modularity Property of Theta Functions of LatticesĀ 

Forrest Thurman - Rutgers University

Location:  Hill 425
Date & time: Wednesday, 11 December 2019 at 10:30AM - 11:30AM

Abstract:   I will discuss how to use Poisson summation and simple properties of the Fourier transform to give the functional equation relating the theta function of a lattice and its dual lattice. We will see that theta functions of even unimodular lattices of dimension 8n are modular forms. Some examples will be given.