A N A L Y T I C     N U M B E R     T H E O R Y ,    S p r i n g    2 0 1 3

Lectures: Tuesday and Thursday, 11.30am-1pm, in Science Center 216.

Lecturer: Paul Bourgade, office hours Wednesday 4-6pm, you also can email me (bourgade@math.harvard.edu) to set up an appointment or just drop by (Science Center 341).

Course description: topics will include the analytic and elementary proofs of the prime number theorem, Dirichlet L-functions, primes in arithmetic progressions, sieve methods and Stepanov's method for the Weil conjectures in the case of hyperelliptic curves.

Prerequisites: complex analysis.

Textbooks: our reference texts will be Multiplicative Number Theory I Classical Theory, by Montgomery-Vaughan, and Analytic Number Theory by Iwaniec-Kowalski.

Homework: every Tuesday for the next Tuesday.

Grading: problem sets (60%), and a final project (40%).

A tentative schedule for this course is:

Problem sets.