## Number Theory - Francois Seguin

### Wednesday, May 30th, 2018

**Time:** 2:30-3:20p.m. **Place:** Jeffery Hall 422

**Speaker:** Francois Seguin

**Title:** The complementary two-variable problem.

**Abstract:** In light of our previous talks concerning the two-variable Artin conjecture, one could ask about a "reverse" or "complementary" analogue. During this talk, we will describe this analogue as well as present a proof due to Schinzel from 1960. We will then discuss how much the proof can be modified to obtain a more precise result.