Improvements to Turing's method. - Timothy S. Trudgian (Math. Comput., 2011)

An improved upper bound for the argument of the Riemann zeta-function on the critical line. - Timothy S. Trudgian (Math. Comput., 2012)

There Are No Socialist Primes Less Than 109. - Tim Trudgian (Integers, 2014)

Robin's Inequality for 11-free Integers. - Kevin A. Broughan; Tim Trudgian (Integers, 2015)

Linear relations of zeroes of the zeta-function. - Darcy G. Best; Timothy S. Trudgian (Math. Comput., 2015)

A proof of the conjecture of Cohen and Mullen on sums of primitive roots. - Stephen D. Cohen; Tomás Oliveira e Silva; Timothy S. Trudgian (Math. Comput., 2015)

A still sharper region where π(x)-li(x) is positive. - Yannick Saouter; Timothy S. Trudgian; Patrick Demichel (Math. Comput., 2015)

An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions. - Timothy S. Trudgian (Math. Comput., 2015)

Zeroes of partial sums of the zeta-function. - David J. Platt; Timothy S. Trudgian (LMS J. Comput. Math., 2016)

On the first sign change of θ(x) - x. - David J. Platt; Timothy S. Trudgian (Math. Comput., 2016)

Diophantine quintuples containing triples of the first kind. - David J. Platt; Timothy S. Trudgian (Period. Math. Hung., 2016)

On the Sum of Two Squares and At Most Two Powers of 2. - David J. Platt; Timothy S. Trudgian (Am. Math. Mon., 2017)

Linear combinations of primitive elements of a finite field. - Stephen D. Cohen; Tomás Oliveira e Silva; Nicole Sutherland; Timothy S. Trudgian (Finite Fields Their Appl., 2018)

Existence results for primitive elements in cubic and quartic extensions of a finite field. - Geoff Bailey; Stephen D. Cohen; Nicole Sutherland; Timothy S. Trudgian (Math. Comput., 2019)

Primitive values of quadratic polynomials in a finite field. - Andrew R. Booker; Stephen D. Cohen; Nicole Sutherland; Tim Trudgian (Math. Comput., 2019)

Quadratic non-residues that are not primitive roots. - Tamiru Jarso; Tim Trudgian (Math. Comput., 2019)

A tale of two omegas. - Michael J. Mossinghoff; Timothy S. Trudgian (75 Years of Mathematics of Computation, 2020)

Accurate estimation of sums over zeros of the Riemann zeta-function. - Richard P. Brent; David J. Platt; Timothy S. Trudgian (Math. Comput., 2021)

The distribution of k-free numbers. - Michael J. Mossinghoff; Tomás Oliveira e Silva; Timothy S. Trudgian (Math. Comput., 2021)

The error term in the prime number theorem. - David J. Platt; Timothy S. Trudgian (Math. Comput., 2021)

Primitive elements with prescribed traces. - Andrew R. Booker; Stephen D. Cohen; Nicol Leong; Tim Trudgian (Finite Fields Their Appl., 2022)

Four consecutive primitive elementsin a finite field. - Tamiru Jarso; Tim Trudgian (Math. Comput., 2022)