 Polynomial identity testing

Polynomial identity testing asks whether a polynomial represented implicitly, such as by an arithmetic circuit or a remainder computation, is the zero polynomial.

Polynomial Identity Testing (PIT) is a problem in computer science and computational algebra that involves determining whether a given polynomial is identically zero. In other words, given a polynomial \( P(x_1, x_2, \ldots, x_n) \) expressed in some algebraic form, the task is to decide if \( P(x_1, x_2, \ldots, x_n) = 0 \) for all possible values of its variables.