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


Schipani, D; Elia, M (2011). Gauss sums of the cubic character over GF(2m): an elementary derivation. Bulletin of the Polish Academy of Sciences, Mathematics, 59(1):11-18.

Abstract

By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field F2s 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).

Abstract

By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field F2s 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).

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2011
Deposited On:14 Jan 2012 19:46
Last Modified:05 Apr 2017 15:32
Publisher:Instytut Matematyczny PAN, Warszawa, PL
ISSN:0239-7269
Publisher DOI:https://doi.org/10.4064/ba59-1-02
Related URLs:http://journals.impan.gov.pl/ba/ (Publisher)
http://arxiv.org/abs/1101.3029

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