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Nonhomogeneous spectra of numbers
Authors:M Boshernitzan  AS Fraenkel
Institution:Department of Theoretical Mathematics and Department of Applied Mathematics, resp., The Weizmann Institute of Science, Rehovot, Israel, 76100
Abstract:A simple characterization is given of those sequences of integersMn={ai}ni=1for which there exist real numbers αandβ such thatai=?+β?(1?i?n). In addition, for givenMn, an open intervalInis computed such that α?Inif and only ifai=?+β?(1?i?n)for suitableβ=β(α).
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