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).
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).
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| 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: | 23 Jan 2022 20:16 |
| Publisher: | Instytut Matematyczny PAN, Warszawa, PL |
| ISSN: | 0239-7269 |
| OA Status: | Green |
| 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 (Organisation) |
Schipani, D