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• W2003148615 abstract "Let $Esubset Bbb{Z}$ be a set of positive upper density. Suppose that $P_1,P_2,ldots,P_kin {Bbb Z}[X]$ are polynomials having zero constant terms. We show that the set $Ecap (E-P_1(p-1))capcdotscap (E-P_k(p-1))$ is non-empty for some prime number $p$. Furthermore, we prove convergence in $L^2$ of polynomial multiple averages along the primes." @default.
• W2003148615 created "2016-06-24" @default.
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• W2003148615 creator A5091670796 @default.
• W2003148615 date "2012-01-01" @default.
• W2003148615 modified "2023-09-25" @default.
• W2003148615 title "Multiple recurrence and convergence along the primes" @default.
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• W2003148615 doi "https://doi.org/10.1353/ajm.2012.0048" @default.
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