Closest integer polynomial multiple recurrence along shifted primes
نویسندگان
چکیده
منابع مشابه
Multiple Recurrence and Convergence for Certain Averages along Shifted Primes
We show that any subset A ⊂ N with positive upper Banach density contains the pattern {m,m + [nα], . . . ,m + k[nα]}, for some m ∈ N and n = p − 1 for some prime p, where α ∈ R\Q. Making use for the Furstenberg Correspondence Principle, we do this by proving an associated recurrence result in ergodic theory along the shifted primes. We also prove the convergence result for the associated averag...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2016
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2016.40