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math.DS2010★ 17 cited
The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems
Vitaly Bergelson, Alexander Leibman, Tamar Ziegler
In this short note we establish new refinements of multidimensional Szemeredi and polynomial van der Waerden theorems along the shifted primes.
math.DS2010
Multiple recurrence and convergence along the primes
Trevor D. Wooley, Tamar D. Ziegler
Let be a set of positive upper density. Suppose that are polynomials having zero constant terms. We show that the set $E\cap…