Applications of Tauberian theorems to counting arithmetic objects

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Speaker: 
Ramin Takloo-Bighash
Institution: 
UIC
Time: 
Thu, 03/16/2017 - 4:00pm - 5:00pm
Host: 
Nathan Kaplan
Location: 
RH 306

The talk will start with some remarks on the role that zeta functions and Tuberian theorems have played in number theory in the last 180 years starting essentially with Dirichlet's proof of his Arithmetic Progression Theorem. The remainder of the talk will be devoted to giving a survey of recent applications of Tauberian theorems to counting arithmetic objects.