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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…