Sharp conditional bounds for moments of the Riemann zeta function AJ Harper
arXiv preprint arXiv:1305.4618, 2013
124 2013 Maxima of a randomized Riemann zeta function, and branching random walks LP Arguin, D Belius, AJ Harper
Annals of Applied Probability 27 (1), 178-215, 2017
79 2017 Moments of random multiplicative functions, I: Low moments, better than squareroot cancellation, and critical multiplicative chaos AJ Harper
Forum of Mathematics, Pi 8, 2020
61 2020 Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function AJ Harper
The Annals of Applied Probability 23 (2), 584-616, 2013
57 2013 On the partition function of the Riemann zeta function, and the Fyodorov--Hiary--Keating conjecture AJ Harper
arXiv preprint arXiv:1906.05783, 2019
44 2019 A new proof of Halász’s theorem, and its consequences A Granville, AJ Harper, K Soundararajan
Compositio Mathematica 155 (1), 126-163, 2019
42 2019 A note on Helson’s conjecture on moments of random multiplicative functions AJ Harper, A Nikeghbali, M Radziwiłł
Analytic number theory, 145-169, 2015
34 2015 A note on the maximum of the Riemann zeta function, and log-correlated random variables AJ Harper
arXiv preprint arXiv:1304.0677, 2013
33 2013 Pickands’ constant does not equal , for small AJ Harper
Bernoulli 23 (1), 582-602, 2017
32 2017 Two new proofs of the Erdös–Kac Theorem, with bound on the rate of convergence, by Stein's method for distributional approximations AJ Harper
Mathematical Proceedings of the Cambridge Philosophical Society 147 (1), 95-114, 2009
31 2009 Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers AJ Harper
Compositio Mathematica 152 (6), 1121-1158, 2016
29 2016 Moments of random multiplicative functions, II: High moments AJ Harper
Algebra & Number Theory 13 (10), 2277-2321, 2020
28 2020 On the limit distributions of some sums of a random multiplicative function AJ Harper
Journal für die reine und angewandte Mathematik (Crelles Journal) 2013 (678 …, 2013
28 2013 Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers AJ Harper
arXiv preprint arXiv:1208.5992, 2012
28 2012 On a paper of K. Soundararajan on smooth numbers in arithmetic progressions AJ Harper
Journal of Number Theory 132 (1), 182-199, 2012
22 2012 Almost sure large fluctuations of random multiplicative functions AJ Harper
arXiv preprint arXiv:2012.15809, 2020
19 2020 Additive decompositions of sets with restricted prime factors C Elsholtz, A Harper
Transactions of the American Mathematical Society 367 (10), 7403-7427, 2015
17 2015 Lower bounds for the variance of sequences in arithmetic progressions: Primes and divisor functions AJ Harper, K Soundararajan
The Quarterly Journal of Mathematics 68 (1), 97-123, 2017
16 2017 A more intuitive proof of a sharp version of Halász’s theorem A Granville, A Harper, K Soundararajan
Proceedings of the American Mathematical Society 146 (10), 4099-4104, 2018
15 2018 Mean values of multiplicative functions over function fields A Granville, AJ Harper, K Soundararajan
Research in number theory 1 (1), 25, 2015
15 2015