MATH 843, Analytic Number Theory

Instructor: Nils Bruin
SC K 10507
(778) 782 3794
Assignments: Assignments are posted on a separate page
Texts: We will start working from notes by WWL Chen: These notes seem to follow quite closely the text by Apostol and should get us through the Prime Number Theorem and Dirichlet's theorem on primes in arithmetic progressions.

For basics about continued fractions, see for instance Lecture Notes for sessions 20, 21, 22, 23 from:

Kumar, Abhinav. 18.781 Theory of Numbers,Spring 2012. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed 26 Feb, 2013). License: Creative Commons BY-NC-SA

For the part about Diophantine approximation we largely follow the notes from Beukers and Evertse for their Master course Diophantine Equations, 2011, in particular

Further literature references:

  • Harold Davenport, Multiplicative Number Theory, GTM 74, Springer (1980).
  • Tom M. Apostol, Introduction to analytic number theory, UTM, Springer (1976).
  • Hugh Montgomery and Robert Vaughan, Multiplicative Number Theory I. Classical Theory, CSAM 97, Cambridge University Press (2007).

Online notes

Meetings: Wednesday, Friday, 14:30 - 16:20, K 9509
First meeting January 11
Grading: Based on assignments, presentation, and exam