Gauss Sums of Cubic Characters over F_pr, p Odd

• Autorzy: Schipani D. , Elia M.

Identyfikatory

DOI

10.4064/ba60-1-1

• Języki publikacji: EN

Abstrakty

EN

An elementary approach is shown which derives the values of the Gauss sums over F_pr, p odd, of a cubic character. New links between Gauss sums over different field extensions are shown in terms of factorizations of the Gauss sums themselves, which are then revisited in terms of prime ideal decompositions. Interestingly, one of these results gives a representation of primes p of the form 6k+1 by a binary quadratic form in integers of a subfield of the cyclotomic field of the pth roots of unity.

Słowa kluczowe

EN

Gauss sum; character; finite fields; algebraic number fields

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: Vol. 60, no 1
• Strony: 1--19
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Schipani D.

• Institute of Mathematics University of Zürich Zürich, Switzerland

autor

Elia M.

• Department of Electronics Politecnico di Torino 10129 Torino, Italy

Bibliografia

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