Gauss Sums of the Cubic Character over $GF\left(2^m\right)$: an Elementary Derivation

Davide Schipani, and Michele Elia. "Gauss Sums of the Cubic Character over $GF(2^m)$: an Elementary Derivation." Bulletin of the Polish Academy of Sciences. Mathematics 59.1 (2011): 11-18. <http://eudml.org/doc/281270>.

@article{DavideSchipani2011,
abstract = {By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field $_\{2^s\}$ without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is -1, and if s is even its value is $-(-2)^\{s/2\}$).},
author = {Davide Schipani, Michele Elia},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Gauss sum; cubic character; finite fields of characteristic 2},
language = {eng},
number = {1},
pages = {11-18},
title = {Gauss Sums of the Cubic Character over $GF(2^m)$: an Elementary Derivation},
url = {http://eudml.org/doc/281270},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Davide Schipani
AU - Michele Elia
TI - Gauss Sums of the Cubic Character over $GF(2^m)$: an Elementary Derivation
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 1
SP - 11
EP - 18
AB - By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field $_{2^s}$ without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is -1, and if s is even its value is $-(-2)^{s/2}$).
LA - eng
KW - Gauss sum; cubic character; finite fields of characteristic 2
UR - http://eudml.org/doc/281270
ER -