Speaker:
Marc Chamberland
Zugehörigkeit:
Grinnell College
Datum:
Mit, 2013-06-19 14:15 - 15:15
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. The speaker's approach involving generating
functions is also presented.