Polynomial multiple recurrence over rings of integers

We generalize the polynomial Szemeredi theorem to intersective polynomials over the ring of integers of an algebraic number field, by which we mean polynomials having a common root modulo every ideal. This leads to the existence of new polynomial configurations in positive-density subsets of Z(m) and strengthens and extends recent results of Bergelson, Leibman and Lesigne [Intersective polynomials and the polynomial Szemeredi theorem. Adv. Math. 219(1) (2008), 369-388] on polynomials over the integers.