Sieve Methods, Math 595, Fall 2007
Instructor
Kevin Ford (Altgeld 361, phone 265-6255, e-mail:
ford@math.uiuc.edu )
Office hours: MWF 2:00-2:45 or by appointment
Textbook
There is no official textbook, although the books Sieve methods
(Halberstam and Richert, Academic Press, 1974)
and Sieves in number theory (G. Greaves, Springer, 2000)
are usueful references.
References
Paper on the Brun-Hooley sieve .
The notation is slightly different than that presented in class.
Exposition of the
Goldston-Pintz-Yildirim work , by K. Soundararajan.
Short proof of Gallagher's result on
summing the "singular series" ; an ingredient in the proof of
GPY theorem; see (3), p. 9, in Soundararajan's paper above.
Goldston-Pintz-Yildirim paper "Primes in tuples I"
Related papers on the GPY methods
Homework
Homework problems
will be assigned periodically, with various point values.
Exams
There will be no exams
Grades
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
|