Gauss Sums of Cubic Characters over $𝔽_{p^r}$, p Odd

• Autorzy: Davide Schipani , Michele Elia
• Języki publikacji: EN

Abstrakty

EN

An elementary approach is shown which derives the values of the Gauss sums over $𝔽_{p^r}$, 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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2012
• Tom: 60
• Numer: 1
• Strony: 1-19

Daty

wydano

2012

Twórcy

autor

Davide Schipani

• Institute of Mathematics, University of Zürich, Zürich, Switzerland

autor

Michele Elia

• Department of Electronics, Politecnico di Torino, 10129 Torino, Italy

Identyfikatory

DOI

10.4064/ba60-1-1