20 citations · 104 across the 42 of their papers we have counts for
7 papers · 2 filters
On consecutive primitive elements in a finite field
Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian
For an odd prime power with we prove that there are always three consecutive primitive elements in the finite field . Indeed, there are precisely eleven…
The and 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 construction, and the variant of the Golomb construc…
On the first sign change of
Dave Platt, Tim Trudgian
Let . We show that for . We also show that there is an for which
Improvements to Turing's Method II
Tim Trudgian
Turing's method uses explicit bounds on , where is the argument of the Riemann zeta-function. This article improves the bound on $|\int_{t…
Linnik's approximation to Goldbach's conjecture, and other problems
Dave Platt, Tim Trudgian
We examine the problem of writing every sufficiently large even number as the sum of two primes and at most powers of 2. We outline an approach that only just falls short of im…
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 , every non-zero element in the finite field can be written as a linear combination of two primitive roots of . This re…