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