Anatomy of Integers, Math 595, Fall 2011
Instructor
Kevin Ford (Altgeld 304, phone 2656255, email:
ford@math.uiuc.edu )
Office hours: MWF 2:003:00 or by appointment
Textbook
Divisors, by R. R. Hall and G. Tenenbaum, Cambridge Tracts in
Math. 90, 1988. Reprinted in 2008 in paperback version.
Class Notes
1. Introduction and the TuranKubilius
inequality
2. The distribution of prime
factors of integers.
3. The Kubilius model and the
ErdosKac theorem.
4. Some sieve estimates.
5. The distribution of divisors
of integers, preliminaries.
6. Proof of the
MaierTenenbaum Theorem.
7. H(x,y,z)  preliminary
estimates and heuristics.
8. The order of H(x,y,2y)
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
