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Lengths of factorizations of integer-valued polynomials on Krull domains with prime elements

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Let D be a Krull domain admitting a prime element with finite residue field and let K be its quotient field. We show that for all positive integers k and 1 < n 1 &#8804; &#8943; &#8804; n k , there exists an integer-valued polynomial on D, that is, an elemen... ...