Note on the Jacobi sum \(J(\chi,\chi)\)

DOI10.5802/JTNB.152zbMath0853.11068OpenAlexW2322439443MaRDI QIDQ1910682

Stanislav Jakubec

Publication date: 19 May 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1995__7_2_461_0

zbMATH Keywords

cyclotomic fieldprimitive rootsJacobi sum2 as 11th power \(\pmod p\)2 as 19th power \(\pmod p\)

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Jacobsthal and Brewer sums; other complete character sums (11L10)

Cites Work

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• The septic character of \(2, 3, 5\) and \(7\)
• The quintic character of 2 and 3
• Criterion for 2 to be an lth power

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