We design a deterministic subexponential time algorithm that takes as input a multivariate polynomial f computed by a constant-depth circuit over rational numbers, and outputs a list L of circuits (of unbounded depth and possibly with division gates) that contains all irreducible factors of f computable by constant-depth circuits. This ... more >>>

For every constant d, we design a subexponential time deterministic algorithm that takes as input a multivariate polynomial f given as a constant depth algebraic circuit over the field of rational numbers, and outputs all irreducible factors of f of degree at most d together with their respective multiplicities. Moreover, ... more >>>