Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function YV Fyodorov, GA Hiary, JP Keating Physical review letters 108 (17), 170601, 2012 | 162 | 2012 |
Fast methods to compute the Riemann zeta function GA Hiary Annals of mathematics 174 (2), 891-946, 2011 | 46 | 2011 |
An explicit van der Corput estimate for ζ (1/2+ it) GA Hiary Indagationes Mathematicae 27 (2), 524-533, 2016 | 26 | 2016 |
New computations of the Riemann zeta function on the critical line JW Bober, GA Hiary Experimental Mathematics 27 (2), 125-137, 2018 | 21 | 2018 |
A nearly-optimal method to compute the truncated theta function, its derivatives, and integrals GA Hiary Annals of Mathematics 174 (2), 859-889, 2011 | 20 | 2011 |
The zeta function on the critical line: Numerical evidence for moments and random matrix theory models G Hiary, A Odlyzko Mathematics of Computation 81 (279), 1723-1752, 2012 | 19 | 2012 |
Detecting squarefree numbers AR Booker, GA Hiary, JP Keating | 17 | 2015 |
An improved explicit estimate for ζ (1/2+ it) GA Hiary, D Patel, A Yang Journal of Number Theory 256, 195-217, 2024 | 12 | 2024 |
A deterministic algorithm for integer factorization GA Hiary Mathematics of Computation 85 (300), 2065–2069, 2014 | 12 | 2014 |
Numerical study of the derivative of the Riemann zeta function at zeros GA Hiary, AM Odlyzko Commentarii Mathematici Universitatis Sancti Pauli 60 (1-2), 47-60, 2011 | 10 | 2011 |
An amortized-complexity method to compute the Riemann zeta function G Hiary Mathematics of computation 80 (275), 1785-1796, 2011 | 9 | 2011 |
Calculations of the invariant measure for Hurwitz continued fractions G Hiary, J Vandehey Experimental Mathematics 31 (1), 324-336, 2022 | 8 | 2022 |
Computing Dirichlet character sums to a power-full modulus GA Hiary Journal of Number Theory 140, 122-146, 2014 | 8 | 2014 |
Fast methods to compute the Riemann zeta function Ann GA Hiary Math, 2011 | 8 | 2011 |
An explicit hybrid estimate for GA Hiary Acta Arithmetica 176, 211-239, 2016 | 7 | 2016 |
An alternative to Riemann-Siegel type formulas GA Hiary Mathematics of Computation 85 (298), 1017-1032, 2014 | 6 | 2014 |
Uniform asymptotics for the full moment conjecture of the Riemann zeta function GA Hiary, MO Rubinstein Journal of Number Theory 132 (4), 820-868, 2012 | 2 | 2012 |
Counting sign changes of partial sums of random multiplicative functions N Geis, G Hiary arXiv preprint arXiv:2311.16358, 2023 | 1 | 2023 |
Explicit bounds for the Riemann zeta-function on the 1-line GA Hiary, N Leong, A Yang arXiv preprint arXiv:2306.13289, 2023 | 1 | 2023 |
Uniform asymptotics of the coefficients of unitary moment polynomials GA Hiary, MO Rubinstein Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 1 | 2011 |