2 papers
math.NT2018
The -unit circle
Kenneth Ward
We define the unit circle for global function fields. We demonstrate that this unit circle (endearingly termed the \emph{-unit circle}, after the finite field of…
math.NT2017
An explicit triangular integral basis for any separable cubic extension of a function field
Sophie Marques, Kenneth Ward
We determine an explicit triangular integral basis for any separable cubic extension of a rational function field over a finite field in any characteristic. We obtain a formula for…