Gauss Sums of the Cubic Character over : an Elementary Derivation
Davide Schipani, Michele Elia (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is -1, and if s is even its value is ).