Math 571 Spring 2021

Chapter 0: Syllabus and Introduction

Chapter 1: Elementary Results

Chapter 2: Multiplicative Structures

Chapter 3: Background from Math 568

Chapter 4: The Selberg Sieve

Chapter 5: The Large Sieve

Chapter 6: Bombieri's Theorem

Chapter 7: The Ternary Goldbach Problem

Chapter 8: Bounded Gaps in the Primes

Waring's Problem Survey

Appendix: Topics in Harmonic Analysis
Appendix: Further Topics in Harmonic Analysis

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

Homework 10

Homework 11

Homework 12

Homework 13