The primitive element of an extension field is always an element of this set.
Roth's theorem states that if alpha is in this set, then the inequality α − q <1 has  infinitely many solutions. The Hermite-Lindemann theorem states that 2q+εno sum of terms of the form Aeb, where A and b are members of this set, can equal zero. Conway's constant is a member of this set with degree 71. The primitive element of an extension field is always an element of this set. It's not the rationals or the irrationals, but this set is often notated with a double-struck Q with a line over it, to symbolize its role as the closure of the rationals. For ten points, identify this set of solutions to polynomials with integer coeffcients.
Roth's theorem states that if alpha is in this set, then the inequality α − q <1 has  infinitely many solutions.
algebraic numbers