Videos

Arithmetic functions: something old, something new

Presenter
May 5, 2017
Keywords:
  • perfect numbers
  • sums of divisors
  • abundant numbers
  • sums of divisors of abundant numbers
  • inverse images of sum of divisors functions
MSC:
  • 11A25
  • 11N56
  • 11N60
  • 11A05
  • 11N37
Abstract
I will discuss recent joint work on the value distribution of arithmetic functions. The problems discussed have in common that they owe their origin --- in one way or another --- to the fascination of the ancients with sums of divisors