Counting decomposable polynomials with integer coefficients

A polynomial over a ring is called decomposable if it composition of two nonlinear polynomials. In this paper, we obtain sharp lower and upper bounds for the number polynomials with integer coefficients fixed degree bounded height. Moreover, asymptotic formulas monic even degree. For example, sextic which are height at most H to $$(16\zeta (3)-5/4)H^3$$ as $$H \rightarrow \infty $$ .