By Professor Timothy Trudgian

Journal articles

Cohen SD; Silva TOE; Trudgian T, 2015, 'A proof of the conjecture of Cohen and Mullen on sums of primitive roots', Mathematics of Computation, 84, pp. 2979 - 2986, http://dx.doi.org/10.1090/mcom/2950

Trudgian TS, 2015, 'A short extension of two of spira's results', Journal of Mathematical Inequalities, 9, pp. 795 - 798, http://dx.doi.org/10.7153/jmi-09-65

Saouter Y; Trudgian T; Demichel P, 2015, 'A still sharper region where π(x) - li(x) is positive', Mathematics of Computation, 84, pp. 2433 - 2446, http://dx.doi.org/10.1090/S0025-5718-2015-02930-5

Trudgian TS, 2015, 'An improved upper bound for the error in the zero-counting formulae for Dirichlet L-functions and Dedekind zeta-functions', Mathematics of Computation, 84, pp. 1439 - 1450, http://dx.doi.org/10.1090/s0025-5718-2014-02898-6

Best DG; Trudgian TS, 2015, 'Linear relations of zeroes of the zeta-function', Mathematics of Computation, 84, pp. 2047 - 2058, http://dx.doi.org/10.1090/s0025-5718-2014-02916-5

Cohen SD; Silva TO; Trudgian T, 2015, 'On consecutive primitive elements in a finite field', Bulletin of the London Mathematical Society, 47, pp. 418 - 426, http://dx.doi.org/10.1112/blms/bdv018

Trudgian T, 2015, 'The sum of the unitary divisor function', Publications de l'Institut Mathematique, 97, pp. 175 - 180, http://dx.doi.org/10.2298/PIM140617001T

Broughan K; Trudgian TS, 2015, 'Robin's inequality for 11-free integers', Integers: electronic journal of combinatorial number theory, 15

Trudgian T, 2014, 'A new upper bound for ζ(1+ it)', Bulletin of the Australian Mathematical Society, 89, pp. 259 - 264, http://dx.doi.org/10.1017/S0004972713000415

Trudgian TS, 2014, 'An improved upper bound for the argument of the Riemann zeta-function on the critical line II', Journal of Number Theory, 134, pp. 280 - 292, http://dx.doi.org/10.1016/j.jnt.2013.07.017

Trudgian TS, 2014, 'There are no socialist primes less than 10^9', Integers: electronic journal of combinatorial number theory, 14

Mossinghoff MJ; Trudgian TS, 2012, 'Between the problems of Pólya and Turán', Journal of the Australian Mathematical Society, 93, pp. 157 - 171, http://dx.doi.org/10.1017/S1446788712000201

Trudgian T, 2012, 'An improved upper bound for the argument of the riemann zeta-function on the critical line', Mathematics of Computation, 81, pp. 1053 - 1061, http://dx.doi.org/10.1090/S0025-5718-2011-02537-8

Trudgian TS, 2012, 'On Selberg's method and multiplicities of the zeroes of the Riemann zeta-function', Commentarii Mathematici Universitatis Sancti Pauli, 60, pp. 227 - 229

Trudgian T, 2011, 'Improvements to Turing’s method', Mathematics of Computation, 80, pp. 2259 - 2259, http://dx.doi.org/10.1090/S0025-5718-2011-02470-1

Trudgian TS, 2011, 'On the success and failure of Gram's Law and the Rosser Rule', Acta Arithmetica, 148, pp. 225 - 256

Trudgian TS, 2010, 'On a conjecture of Shanks', Journal of Number Theory, 130, pp. 2635 - 2638, http://dx.doi.org/10.1016/j.jnt.2010.04.010

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