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20112018
most citedA complete classification of cubic function fields over any finite field

5 citations · 5 across the 8 of their papers we have counts for

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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

Cubic Fields: A Primer

Sophie Marques, Kenneth Ward

We classify all cubic extensions of any field of arbitrary characteristic, up to isomorphism, via an explicit construction involving three fundamental types of cubic forms. We dedu…