Anatomy of Integers, Math 595, Fall 2011
Instructor Kevin Ford (Altgeld 304, phone 265-6255, e-mail:
Office hours: MWF 2:00-3:00 or by appointment
Divisors, by R. R. Hall and G. Tenenbaum, Cambridge Tracts in
Math. 90, 1988. Reprinted in 2008 in paperback version.
1. Introduction and the Turan-Kubilius
2. The distribution of prime
factors of integers.
3. The Kubilius model and the
4. Some sieve estimates.
5. The distribution of divisors
of integers, preliminaries.
6. Proof of the
7. H(x,y,z) - preliminary
estimates and heuristics.
8. The order of H(x,y,2y)
will be assigned periodically, with various point values.
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