Gauss sums of the cubic character over GF(2^m): an elementary derivation

• Autorzy: Schipani D. , Elia M.
• Języki publikacji: EN

Abstrakty

EN

By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field F_2s 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).

Słowa kluczowe

EN

Gauss sum; character; binary finite fields

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: Vol. 59, no 1
• Strony: 11--18
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Schipani D.

autor

Elia M.

• Institute of Mathematics, University of Zurich, 8057 Zurich, Switzerland,

Bibliografia

• [1] B. Berndt, R. J. Evans and H. Williams, Gauss and Jacobi Sums, Wiley, New York, 1998.
• [2] D. Jungnickel, Finite Fields, Structure and Arithmetics, Wissenschaftsverlag, Mannheim, 1993.
• [3] R. Lidl and H. Niederreiter, Finite Fields, Cambridge Univ. Press, Cambridge, 1986.
• [4] A. Winterhof, On the distribution of powers in finite fields, Finite Fields Appl. 4 (1998), 43-54.