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- W2277347810 abstract "Following an approach presented by N. Frantzikinakis, B. Host and B. Kra, we show that the parameters in the multidimensional Szemer'edi theorem for integer part polynomials have non-empty intersection with the set of shifted primes $mathbb{P}-1$ (and similarly with $mathbb{P}+1$). Using the Furstenberg Correspondence Principle, we show this result by recasting it as a multiple recurrence result in measure ergodic theory, which we obtain by a transference principle that enables to deduce results for $mathbb{Z}$-actions from results for flows." @default.
- W2277347810 created "2016-06-24" @default.
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- W2277347810 date "2015-12-07" @default.
- W2277347810 modified "2023-09-27" @default.
- W2277347810 title "Integer part polynomial multiple recurrence along shifted primes" @default.
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