Analytic Number Theory in Function Fields

Analytic Number Theory in Function Fields

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Peter Humphries, Princeton University
Fine Hall 314

Function fields are a good toy model for number fields. I'll give an easy proof of the prime number theorem for the function field F_q(t), along the way proving the Riemann hypothesis, and talk a little bit about number theory in field extensions. If time permits, I'll discuss the Mertens conjecture in both number fields and function fields. No algebraic geometry will be harmed in this talk.