2 papers
math.NT2025
The determination of norm-Euclidean cyclic cubic fields
Gustav Kjærbye Bagger, Andrew R. Booker, Bryce Kerr +3
It is known on the Generalised Riemann Hypothesis that there are precisely cyclic cubic fields that are norm-Euclidean. Unconditionally, there is a gap between analytic estima…
math.NT2022
Primitive element pairs with a prescribed trace in the cubic extension of a finite field
Andrew R. Booker, Stephen D. Cohen, Nicol Leong +1
We prove that for any prime power , the cubic extension of the finite field contains a primitive element such that $ξ+ξ^{-1}…