Gaps between primes in Beatty sequences

Speaker: 

Liangyi Zhao

Affiliation: 

UNSW

Date: 

Wed, 21/10/2015 - 1:30pm

Venue: 

K-J17-101 (Ainsworth Building 101) UNSW

Abstract: 

We will present a some results on the gaps between primes in Beatty sequences, sequences of the form $[ \alpha n + \beta ]$ with $\alpha$ irrational and $\beta$ real.  The results follow from a general theorem on the gaps between primes in sets that satisfy certain regularity conditions.  The methods follow the recent breakthrough of J. Maynard. This is joint work with R. C. Baker.

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