MathDB
N 9

Source:

May 25, 2007
algebrapolynomialinequalitiesfunctionnumber theoryleast common multipleabstract algebra

Problem Statement

Let q0,q1,⋯ q_{0}, q_{1}, \cdots be a sequence of integers such that a) for any m>n m > n, m \minus{} n is a factor of q_{m} \minus{} q_{n}, b) item ∣qn∣≤n10 |q_n| \le n^{10} for all integers n≥0 n \ge 0. Show that there exists a polynomial Q(x) Q(x) satisfying q_{n} \equal{} Q(n) for all n n.
Back to ProblemsView on AoPS