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MR1333387 (97b:03058) 03E05 (11B75 54H20)
Bergelson, Vitaly; Hindman, Neil; Kra, Bryna Iterated spectra of numbers—elementary, dynamical, and algebraic approaches. Trans. Amer. Math. Soc. 348 (1996), no. 3, 893–912.
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