The Riemann hypothesis is true up to D Platt, T Trudgian
Bulletin of the London Mathematical Society 53 (3), 792-797, 2021
100 2021 An improved upper bound for the argument of the Riemann zeta-function on the critical line II TS Trudgian
Journal of Number Theory 134, 280-292, 2014
76 2014 Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function MJ Mossinghoff, TS Trudgian
Journal of Number Theory 157, 329-349, 2015
66 2015 Updating the error term in the prime number theorem T Trudgian
The Ramanujan Journal 39, 225-234, 2016
61 2016 On the first sign change of θ (x ) − x DJ Platt, TS Trudgian
Mathematics of Computation 85 (299), 1539-1547, 2016
50 2016 On the success and failure of Gram’s Law and the Rosser Rule T Trudgian
Acta Arith 148 (3), 225-256, 2011
44 * 2011 The error term in the prime number theorem D Platt, T Trudgian
Mathematics of Computation 90 (328), 871-881, 2021
36 2021 An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions TS Trudgian
Mathematics of Computation, 1439-1450, 2015
36 2015 An improved explicit bound on| ζ (12+ it)| DJ Platt, TS Trudgian
Journal of Number Theory 147, 842-851, 2015
36 2015 Bounds on the number of Diophantine quintuples T Trudgian
Journal of Number Theory 157, 233-249, 2015
32 2015 Accurate estimation of sums over zeros of the Riemann zeta-function R Brent, D Platt, T Trudgian
Mathematics of Computation 90 (332), 2923-2935, 2021
26 2021 Explicit bounds on the logarithmic derivative and the reciprocal of the Riemann zeta-function T Trudgian
Functiones et Approximatio Commentarii Mathematici 52 (2), 253-261, 2015
26 2015 A still sharper region where 𝜋 (𝑥)-𝑙𝑖 (𝑥) is positive Y Saouter, T Trudgian, P Demichel
Mathematics of Computation 84 (295), 2433-2446, 2015
25 * 2015 Linnik's approximation to Goldbach's conjecture, and other problems DJ Platt, TS Trudgian
Journal of Number Theory 153, 54-62, 2015
24 2015 Improvements to Turing’s method T Trudgian
Mathematics of computation 80 (276), 2259-2279, 2011
23 2011 Linear relations of zeroes of the zeta-function D Best, T Trudgian
Mathematics of Computation 84 (294), 2047-2058, 2015
22 2015 Searching for Diophantine quintuples M Cipu, T Trudgian
arXiv preprint arXiv:1508.02106, 2015
21 2015 A new upper bound for T Trudgian
Bulletin of the Australian Mathematical Society 89 (2), 259-264, 2014
19 2014 An improved upper bound for the argument of the Riemann zeta-function on the critical line T Trudgian
Mathematics of Computation 81 (278), 1053, 2011
19 2011 The mean square of the error term in the prime number theorem RP Brent, DJ Platt, TS Trudgian
Journal of Number Theory 238, 740-762, 2022
18 2022 