Can I read Multiple Recurrence and Convergence Along the Primes on EtoBox?

Multiple Recurrence and Convergence Along the Primes by Wooley, Trevor D.; Ziegler, Tamar D. is a scholarly article available to read on EtoBox.

What is Multiple Recurrence and Convergence Along the Primes about?

Let $E\subset \mathbb Z$ be a set of positive upper density. Suppose that $P_1,P_2,..., P_k\in \mathbb Z[X]$ are polynomials having zero constant terms. We show that the set $E\cap (E-P_1(p-1))\cap ... \cap (E-P_k(p-1))$ is non-empty for some prime number $p$. Furthermore, we prove convergence in $L^2$ of polynomial multiple averages along the primes.

Author

Wooley, Trevor D.; Ziegler, Tamar D.

Published

2010

Language

EN