## Number Theory Seminar

### Thursday, November 28th, 2019

**Time:** 4:30-5:30 p.m. **Place:** Jeffery Hall 422

**Speaker:** Seoyoung Kim (Queen's University)

**Title:** Artin's primitive root conjecture for function fields without Riemann Hypothesis.

**Abstract:** Artin's primitive root conjecture for function fields is known by Bilharz in his thesis in 1937, which was conditional on the proof of the Riemann hypothesis for global function fields, which was proved by Weil in 1948. In this talk, we suggest a simple proof of Artin's primitive root conjecture for function fields unconditional on the Riemann hypothesis for global function fields by using the technique from the proof of the prime number theorem by Hadamard and de la Vall/'ee Poussin. This is joint work with M. Ram Murty.