Sieve Methods, Math 532, Spring 2015


Kevin Ford (Altgeld 304, phone 265-6255, e-mail: ford (at) math (dot) uiuc (dot) edu )
Office hours: MWF 10:00-11:00 or by appointment


There is no official textbook, although the books Sieve methods (Halberstam and Richert, Academic Press, 1974) and Opera de Cribro (J. Friedlander, H. Iwaniec; 2010) are useful references for general sieve methods.

Lecture Notes

Lecture Notes. The Brun-Hooley sieve and applications.

Lecture Notes. Smooth Numbers (brief intro)

Lecture Notes. Shifted primes, Hardy-Ramanujan theorems, Euler's function.

Lecture Notes. The Kubilius model, Erdos-Kac theorem.

Lecture Notes. The Selberg sieve.

Lecture Notes. Small gaps between primes.

Lecture Notes. Large gaps between primes.

Lecture Notes. The Large sieve and applications.


Homework problems . Part I Due March 20. Part II Due May 6.


There will be no exams


Your grade is determined entirely by the number of homework points you accumulate during the semester. Here is the breakdown:
Grade Points
A+ 100
A 60
A- 50
B+ 40
B 30
B- 20
C+ 10
C 0