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