MATH 675: Analytic Theory of Numbers (Winter 2022)

This course will be an introduction to analytic number theory covering Dirichlet series, arithmetic functions, the prime number theorem, Dirichlet's Theorem and, if time permits, the distribution of gaps between primes.

Lectures are Tues & Thurs 10-11:30 in Mason Hall 2353.

Office Hours: Mon 14:00 - 15:00 and Weds 13:30 - 14:30.

Syllabus: MATH 675 Topics

Lecture notes: ANT notes

Problem Sheets:

Problem Sheet 1 (Due 18/01/22) Solutions
Problem Sheet 2 (Due 25/01/22) Solutions
Problem Sheet 3 (Due 01/02/22) Solutions
Problem Sheet 4 (Due 08/02/22) Solutions
Problem Sheet 5 (Due 15/02/22) Solutions
Problem Sheet 6 (Due 22/02/22) Solutions
Problem Sheet 7 (Due 22/03/22) Solutions
Problem Sheet 8 (Due 02/04/22) Solutions

Final Project: Click here for a summary of the final project, including deadline dates and a (non-exhaustive) list of potential topics.