| The Riemann hypothesis is true up to D Platt, T Trudgian Bulletin of the London Mathematical Society 53 (3), 792-797, 2021 | 102 | 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 | 79 | 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 | 69 | 2015 |
| Updating the error term in the prime number theorem T Trudgian The Ramanujan Journal 39, 225-234, 2016 | 62 | 2016 |
| On the first sign change of θ(x) − x DJ Platt, TS Trudgian Mathematics of Computation 85 (299), 1539-1547, 2016 | 51 | 2016 |
| On the success and failure of Gram’s Law and the Rosser Rule T Trudgian Acta Arith 148 (3), 225-256, 2011 | 46* | 2011 |
| The error term in the prime number theorem D Platt, T Trudgian Mathematics of Computation 90 (328), 871-881, 2021 | 37 | 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 |
| 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 | 26* | 2015 |
| 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 |
| 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 | 24 | 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 | 20 | 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 |
