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University of Cambridge > Talks.cam > Discrete Analysis Seminar > Polynomial configurations in the primes

## Polynomial configurations in the primesAdd to your list(s) Download to your calendar using vCal - Julia Wolf (Paris)
- Wednesday 30 January 2013, 16:00-17:00
- MR11, CMS.
If you have a question about this talk, please contact Ben Green. The Bergelson-Leibman 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 Bergelson-Leibman 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 Tao-Ziegler 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:- All CMS events
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