Gauss Sums of Cubic Characters over F_(p^m),, p Odd

Schipani, D.; Elia, Michele

doi:10.4064/ba60-1-1

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 then are 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 p-th roots ofunity.

Gauss Sums of Cubic Characters over F_(p^m),, p Odd / Schipani D.; Elia M.. - In: BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS. - ISSN 0239-7269. - STAMPA. - 60:1(2012), pp. 1-19.

Titolo:	Gauss Sums of Cubic Characters over F_(p^m),, p Odd
Autori:	Schipani D. ELIA, Michele mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2012
Rivista:	BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS
Digital Object Identifier (DOI):	http://dx.doi.org/10.4064/ba60-1-1
Appare nelle tipologie:	1.1 Articolo in rivista

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