Subsets of Z with Simultaneous Orderings
نویسندگان
چکیده
We are interested in subsets S of Z which admit simultaneous orderings, that is, sequences {an}n≥0 such that Qn−1 k=0 (an−ak) divides Qn−1 k=0 (x− ak) for every x ∈ S (analogously to n! which divides (m+n)!/m! for every m). In particular, we characterize the polynomials f of degree 2 such that f(N) admits a simultaneous ordering.
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