Property about algebraic integers Recently I am reading about transcendental number theory, there is a statement that all algebraic integers are norm at least 1 except 0, I don't know how to prove it.
The norm of an algebraic integer is the last coefficient of the minimal polynomial. So it is integer. If it is zero then the number is zero because minimal polynomial is irreducible
In number theory, an algebraic integer, is a complex number that is the root of some monic polynomial (leading coefficient is 1) with integer coefficients. From WIKI.