Gauss sums of the cubic character over GF ( 2 m ) : an elementary derivation
نویسندگان
چکیده
By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field F2s without using Davenport–Hasse’s theorem (namely, if s is odd the Gauss sum is −1, and if s is even its value is −(−2)s/2). DOI: https://doi.org/10.4064/ba59-1-02 Posted at the Zurich Open Repository and Archive, University of Zurich ZORA URL: https://doi.org/10.5167/uzh-55178 Accepted Version Originally published at: Schipani, D; Elia, M (2011). Gauss sums of the cubic character over GF(2m): an elementary derivation. Bulletin of the Polish Academy of Sciences, Mathematics, 59(1):11-18. DOI: https://doi.org/10.4064/ba59-1-02
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