Seminar series
Date
Thu, 09 May 2019
Time
16:00 -
17:00
Location
L6
Speaker
Kevin Ford
Organisation
Illinois at Urbana-Champaign
We introduce a new probabilistic model for primes, which we believe is a better predictor for large gaps than the models of Cramer and Granville. We also make strong connections between our model, prime k-tuple counts, large gaps and the "square-root sieve". In particular, our model makes a prediction about large prime gaps that may contradict the models of Cramer and Granville, depending on the tightness of a certain sieve estimate. This is joint work with Bill Banks and Terence Tao.