| 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 | 41 | 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 |
