Select Publications

Preprints

Mossinghoff MJ; Trudgian TS; Yang A, 2022, Explicit zero-free regions for the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2212.06867

Bellotti C; Keller TM; Trudgian TS, 2022, New bounds for numbers of primes in element orders of finite groups, http://dx.doi.org/10.48550/arxiv.2211.05837

Goldston DA; Trudgian TS; Turnage-Butterbaugh CL, 2022, On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function, http://dx.doi.org/10.48550/arxiv.2201.10676

Martin G; Mossinghoff MJ; Trudgian TS, 2021, Fake Mu's, http://dx.doi.org/10.48550/arxiv.2112.05227

Mossinghoff MJ; Starichkova VV; Trudgian TS, 2021, Explicit lower bounds on $|L(1, χ)|$, http://arxiv.org/abs/2107.09230v1

Booker AR; Hathi S; Mossinghoff MJ; Trudgian TS, 2021, Wolstenholme and Vandiver primes, http://dx.doi.org/10.48550/arxiv.2101.11157

Languasco A; Trudgian TS, 2020, Uniform effective estimates for $\vert L(1,\chi)\vert$, http://dx.doi.org/10.48550/arxiv.2011.08348

Simonič A; Trudgian T; Turnage-Butterbaugh CL, 2020, Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2010.10675

Brent RP; Platt DJ; Trudgian TS, 2020, Accurate estimation of sums over zeros of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2009.13791

Brent RP; Platt DJ; Trudgian TS, 2020, A harmonic sum over nontrivial zeros of the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.2009.05251

Brent RP; Platt DJ; Trudgian TS, 2020, The mean square of the error term in the prime number theorem, http://dx.doi.org/10.48550/arxiv.2008.06140

Mossinghoff MJ; Trudgian TS, 2020, Oscillations in weighted arithmetic sums, http://dx.doi.org/10.48550/arxiv.2007.14537

Mossinghoff MJ; Trudgian TS, 2020, The size of oscillations in the Goldbach conjecture, http://dx.doi.org/10.48550/arxiv.2006.14742

Mossinghoff MJ; Trudgian TS, 2019, A tale of two omegas, http://dx.doi.org/10.48550/arxiv.1906.02847

Mossinghoff MJ; Trudgian TS, 2014, Nonnegative trigonometric polynomials and a zero-free region for the Riemann zeta-function, http://dx.doi.org/10.48550/arxiv.1410.3926

Akbary A; Trudgian TS, 2013, A log-free zero-density estimate and small gaps in coefficients of $L$-functions, http://dx.doi.org/10.48550/arxiv.1312.5820


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