Freezing Transition, Characteristic Polynomials of Random Matrices,<? format?> and the Riemann Zeta Function YV Fyodorov, GA Hiary, JP Keating
Physical review letters 108 (17), 170601, 2012
174 2012 Fast methods to compute the Riemann zeta function GA Hiary
Annals of mathematics 174 (2), 891-946, 2011
55 * 2011 An explicit van der Corput estimate for ζ (1/2+ it) GA Hiary
Indagationes Mathematicae 27 (2), 524-533, 2016
29 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
21 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
20 2012 Detecting squarefree numbers AR Booker, GA Hiary, JP Keating
18 2015 An improved explicit estimate for ζ (1/2+ it) GA Hiary, D Patel, A Yang
Journal of Number Theory 256, 195-217, 2024
15 2024 A deterministic algorithm for integer factorization GA Hiary
Mathematics of Computation 85 (300), 2065–2069, 2014
14 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
11 2011 Calculations of the invariant measure for Hurwitz continued fractions G Hiary, J Vandehey
Experimental Mathematics 31 (1), 324-336, 2022
9 2022 An amortized-complexity method to compute the Riemann zeta function G Hiary
Mathematics of computation 80 (275), 1785-1796, 2011
9 2011 An explicit hybrid estimate for GA Hiary
Acta Arithmetica 176, 211-239, 2016
8 2016 Computing Dirichlet character sums to a power-full modulus GA Hiary
Journal of Number Theory 140, 122-146, 2014
8 2014 An alternative to Riemann-Siegel type formulas GA Hiary
Mathematics of Computation 85 (298), 1017-1032, 2014
6 2014 Counting sign changes of partial sums of random multiplicative functions N Geis, G Hiary
arXiv preprint arXiv:2311.16358, 2023
3 2023 Explicit bounds for the Riemann zeta-function on the 1-line GA Hiary, N Leong, A Yang
arXiv preprint arXiv:2306.13289, 2023
3 2023 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 New Formulas for the Riemann Zeta Function A Akula, G Hiary
Integers 23, A21, 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