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MR2138068 (2007i:37009) 37A30 (05D10 28D05 37A05)
Bergelson, Vitaly; Host, Bernard; Kra, Bryna Multiple recurrence and nilsequences. With an appendix by Imre Ruzsa. Invent. Math. 160 (2005), no. 2, 261–303.
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