## The Bateman—Horn Conjecture, Part I: heuristic derivation (Stephan Garcia, Pomona)

### October 16 @ 12:15 pm - 1:10 pm

The Bateman—Horn Conjecture is a far-reaching statement about the distribution of the prime numbers. It implies many known results, such as the Green—Tao theorem, and a variety of famous conjectures, such as the Twin Prime Conjecture. In this expository talk, we start from basic principles and provide a heuristic argument in favor of the conjecture. This talk should be accessible to undergraduates with a background in modular arithmetic.