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# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## Gauss Sums of the Cubic Character over ${\rm GF}(2^m)$: an Elementary Derivation

### Tom 59 / 2011

Bulletin Polish Acad. Sci. Math. 59 (2011), 11-18 MSC: Primary 12Y05; Secondary 12E30. DOI: 10.4064/ba59-1-2

#### Streszczenie

By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field $\mathbb F_{2^s}$ without using Davenport–Hasse's theorem (namely, if $s$ is odd the Gauss sum is $-1$, and if $s$ is even its value is $-(-2)^{s/2}$).

#### Autorzy

• Davide SchipaniInstitute of Mathematics
University of Zurich
8057 Zürich, Switzerland
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