Math 571 Spring 2023
Syllabus
Homework 1
Chapter 0: Introduction
Chapter 1: Elementary Results
Homework 2
Chapter 2: Multiplicative Structures
Homework 3
Chapter 3: Background from Math 568
Chapter 4: The Selberg Sieve
Homework 4
Homework 5
Chapter 5: The Large Sieve
Homework 6
Chapter 6: Bombieri's Theorem
Chapter
7: The Ternary Goldbach Problem
Homework 7
Homework 8
Homework 9
Homework 10
Homework 11
Final Project
Chapter 8: Bounded Gaps in the Primes
Chapter 9: Maier's
Theorem
Chapter 24: Zero
Density Estimates
Turan's Power Sum
Method
Waring's Problem Survey
Appendix: Topics in Harmonic Analysis
Appendix: Further Topics in Harmonic Analysis