The 3x+1 Problem: Status and Recent Work Part 1
Published at : 25 Oct 2020
Friday, April 12th
Marc Chamberland , Grinnell College
"The 3x+1 Problem: Status and Recent Work"
Time: 4:00 PM
Location: Hill 705
Abstract: The 3x+1 Problem is a long-standing conjecture. Let T be a map from the positive integers into itself, where T(x)=x/2 if x is even and T(x) = (3x+1)/2 if x is odd. The conjecture asks whether, under iteration of the map T, any positive integer eventually reaches the value one. This talk gives a survey of the various approaches and results, intersecting areas such as number theory, dynamical systems, and functional equations.