Perfect Numbers and Their Friends
| SHORT TALKS BY POSTDOCTORAL MEMBERS | |
| Topic: | Perfect Numbers and Their Friends |
| Speaker: | Paul Pollack |
| Affiliation: | Member, School of Mathematics |
| Date: | Wednesday, September 30 |
| Time/Room: | 4:00pm - 5:00pm/S-101 |
Let s(n) denote the sum of the proper divisors of the natural number n. We call n *perfect* if n = s(n) and *amicable* if
n = s(s(n) . We discuss some old problems and recent results related to perfect numbers, amicable numbers, and their generalizations.