  The absolute separation of a polynomial is the minimum nonzero difference
between the absolute values of its roots. In the case of polynomials with
integer coefficients, it can be bounded from below in terms of the degree and
the height (the maximum absolute value of the coefficients) of the polynomial.
We improve the known bounds for this problem and related ones. Then we report
on extensive experiments in low degrees, suggesting that the current bounds are
still very pessimistic.
