Stanley Xiao, Department of Pure Mathematics, University of Waterloo
“Thin sets of primes”
The celebrated prime number theorem asserts that up to x, there are roughly x/ log x many prime numbers. We say that a subset P of primes is thin if the number of primes in P up to x is O(x1−ε) for some ε > 0. In this talk we describe some state-of-the-art results on sets of thin primes, namely primes of the form a2 + b4, x3 + 2y3, and those given by incomplete norm forms.
MC 5403