Product representations of polynomials

For a fixed polyomial f Z[X], let k(N) denote the maximum size of a set A {1, 2, . . . , N} such that no product of k distinct elements of A is in the value set of f. In this paper, we determine the asymptotic behaviour of k(N) for a wide class of polynomials. Our results generalize earlier theorems of Erdos, S

• Type: Journal
• Year: 2006
• Where: EJC
• Authors: Jacques Verstraëte
• Keywords: Distinct Elements, EJC 2006, EJC 2007, Fixed Polyomial, Maximum Size