Tim Trudgian

most citedThe

T_{4}

and

G_{4}

constructions of Costas arrays

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2014★ 2 cited

The $T_{4}$ and $G_{4}$ constructions of Costas arrays

Tim Trudgian, Qiang Wang

We examine two particular constructions of Costas arrays known as the Taylor variant of the Lempel construction, or the $T_{4}$ construction, and the variant of the Golomb construc…

math.NT2014

On the first sign change of $θ (x) - x$

Dave Platt, Tim Trudgian

Let $θ (x) = \sum_{p \leq x} lo g p$ . We show that $θ (x) < x$ for $2 < x < 1.39 \cdot 1 0^{17}$ . We also show that there is an $x < exp (727.951332668)$ for which $θ (x) > x .$

math.NT2014★ 1 cited

A proof of the conjecture of Cohen and Mullen on sums of primitive roots

Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian

We prove that for all $q > 61$ , every non-zero element in the finite field $F_{q}$ can be written as a linear combination of two primitive roots of $F_{q}$ . This re…

The T4​ and G4​ constructions of Costas arrays

On the first sign change of θ(x)−x

A proof of the conjecture of Cohen and Mullen on sums of primitive roots

The $T_{4}$ and $G_{4}$ constructions of Costas arrays

On the first sign change of $θ (x) - x$