Type: Article

Arithmetic properties of the integer part of the powers of an algebraic number

Florian Luca; Maurice Mignotte;

Abstract:

For a real number x, we let left perpendicular x inverted left perpendicular be the closest integer to x. In this paper, we look at the arithmetic properties of the integers left perpendicular theta(n) inverted left perpendicular when n >= 0, where theta > 1 is a fixed algebraic number.