The Fundamental Theorem of Probabilistic Number Theory

I am an instructor at the Berkeley Math Circle. Here are my handouts for my lectures from Summer 2020 on the fundamental theorem of probabilistic number theory.

• Day 1, The Probabilistic Method. (Lecture Notes)
• Day 2, Analytic Number Theory. (Lecture Notes)
• Day 3, Putting it all together. (Lecture Notes)
• Post-class, Appendix: Saturday's USAMO.