Seminar series
Date
Thu, 16 Jun 2016
16:00
16:00
Location
L6
Speaker
Roger Heath-Brown
Organisation
Oxford University
Let $a_1, \cdots, a_N$ be the sequence of y-smooth numbers up to x (i.e. composed only of primes up to y). When y is a small power of x, what can one say about the size of the gaps $a_{j+1}-a_j$? In particular, what about
$$\sum_1^N (a_{j+1}-a_j)^2?$$