Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, Missouri 65409 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Abstract:
We show that there are characters of compact, connected, non-abelian groups that approximate random choices of signs. The work was motivated by Kronecker's theorem on the independence of exponential functions and has applications to thin sets.