Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation
Number Theory
2011-05-03 v3
Abstract
An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field without using Davenport-Hasse's theorem (namely, if is odd the Gauss sum is -1, and if is even its value is ).
Cite
@article{arxiv.1012.5320,
title = {Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation},
author = {Davide Schipani and Michele Elia},
journal= {arXiv preprint arXiv:1012.5320},
year = {2011}
}
Comments
minor changes; accepted for publication in Bulletin of the Polish Academy of Sciences, Ser. Mathematics