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Good sequences of integers
Authors:David Carlson
Institution:Department of Mathematics, University of Colorado, Boulder, Colorado 80302 USA
Abstract:A sequence (aj) of integers is α-good (α real) if the sequence (ajα) of real numbers is uniformly distributed mod 1. For each polynomial P(x) of positive degree with real coefficients, we determine the set of real numbers α for which the sequence of integer parts (P(j)]) is α-good.
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