PMATH 740 - Analytic Number Theory
Yu-Ru Liu
Fall 2015
1 - Prime Numbers
2 - Möbius Function and von Mangoldt Function
3 - Abel's Summation Formula
4 - Riemann's ζ-Function
5 - Prime Number Theorem
6 - The ω and Ω Functions
7 - Quadratic Reciprocity
8 - Primitive Roots
9 - Characters
10 - L-Functions and Dirichlet's Theorem
11 - Waring's Problem
12 - The Circle Method