We say that two given polynomials f, g \in R[x_1, \ldots, x_n], over a ring R, are equivalent under shifts if there exists a vector (a_1, \ldots, a_n)\in R^n such that f(x_1+a_1, \ldots, x_n+a_n) = g(x_1, \ldots, x_n). This is a special variant of the polynomial projection problem in Algebraic ... more >>>