3 papers
math.NT2018
Explicit genus formula for any separable cubic global function field
Sophie Marques, Jacob Ward
In the present work, we determine explicitly the genus of any separable cubic extension of any global function field given the minimal polynomial of the extension. We give algorith…
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…
math.NT2017
Generic polynomials for cyclic function field extensions over certain finite fields
Sophie Marques
In this paper, we find all the generic polynomials for geometric -cyclic function field extensions over the finite fields where , prime integer suc…