Gauss Sums of Cubic Characters over Fpr, p Odd
Davide Schipani, Michele Elia · Bulletin of the Polish Academy of Sciences Mathematics · 2012
An elementary approach is shown which derives the values of the Gauss sums over $\mathbb F_{p^r}$, $p$ odd, of a cubic character. New links between Gauss sums over different field extensions are shown in terms of factorizations of the Gauss sums themselv