Salem number

Salem number is a real algebraic integerMathworldPlanetmath α>1 whose algebraic conjugates all lie in the unit disk {z||z|1} with at least one on the unit circle {z||z|=1}.

Powers of a Salem number αn(n=1,2,) are everywhere dense modulo 1, but are not uniformly distributed modulo 1.

The smallest known Salem number is the largest positive root of

Title Salem number
Canonical name SalemNumber
Date of creation 2013-03-22 13:38:48
Last modified on 2013-03-22 13:38:48
Owner bbukh (348)
Last modified by bbukh (348)
Numerical id 6
Author bbukh (348)
Entry type Definition
Classification msc 11R06
Classification msc 11J71