19 citations · 37 across the 4 of their papers we have counts for
4 papers
A note on the maximum of the Riemann zeta function, and log-correlated random variables
Adam J. Harper
In recent work, Fyodorov and Keating conjectured the maximum size of in a typical interval of length O(1) on the critical line. They did this by modelling the zeta fu…
Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers
Adam J. Harper
We prove Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for the y-smooth numbers less than x, on the range log^{K}x \leq y \leq x. This improves on the range…
On a paper of K. Soundararajan on smooth numbers in arithmetic progressions
Adam J. Harper
In a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than x whose prime factors are less than y are asymptotically equidistributed in arithmetic…
On the limit distributions of some sums of a random multiplicative function
Adam J. Harper
We study sums of a random multiplicative function; this is an example, of number-theoretic interest, of sums of products of independent random variables (chaoses). Using martingale…