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.