Polynomial configurations in the primes
Add to your list(s)
Download to your calendar using vCal
 Julia Wolf (Paris)
 Wednesday 30 January 2013, 16:0017:00
 MR11, CMS.
If you have a question about this talk, please contact Ben Green.
The BergelsonLeibman theorem states that if P_1, ... , P_k are
polynomials with integer coefficients, then any subset of the integers of
positive upper density contains a polynomial configuration x+P_1(m), \dots,
x+P_k(m), where x,m are integers. Various generalizations of this theorem are
known. Wooley and Ziegler showed that the variable m can in fact be taken to be
a prime minus 1, and Tao and Ziegler showed that the BergelsonLeibman theorem
holds for subsets of the primes of positive relative upper density. In this
talk we discuss a hybrid of the latter two results, namely that the step m in
the TaoZiegler theorem can be restricted to the set of primes minus 1. This is
joint work with Thai Hoang Le.
This talk is part of the Discrete Analysis Seminar series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
