The Riemann hypothesis is true up to D Platt, T Trudgian
Bulletin of the London Mathematical Society 53 (3), 792-797, 2021
93 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
74 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
62 2015 Updating the error term in the prime number theorem T Trudgian
The Ramanujan Journal 39, 225-234, 2016
59 2016 On the first sign change of θ (x ) − x DJ Platt, TS Trudgian
Mathematics of Computation 85 (299), 1539-1547, 2016
49 * 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 An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions. TS Trudgian
Math. Comput. 84 (293), 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
35 2015 The error term in the prime number theorem D Platt, T Trudgian
Mathematics of Computation 90 (328), 871-881, 2021
31 2021 Bounds on the number of Diophantine quintuples T Trudgian
Journal of Number Theory 157, 233-249, 2015
29 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
24 * 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
22 2011 Linear relations of zeroes of the zeta-function D Best, T Trudgian
Mathematics of Computation 84 (294), 2047-2058, 2015
21 2015 Robin's inequality for 11-free integers KA Broughan, T Trudgian
State University of West Georgia, Charles University, and DIMATIA, 2015
19 2015 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 Searching for Diophantine quintuples M Cipu, T Trudgian
arXiv preprint arXiv:1508.02106, 2015
18 2015 A new upper bound for T Trudgian
Bulletin of the Australian Mathematical Society 89 (2), 259-264, 2014
18 2014 