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Title: Criterion for 3 to be eleventh power (English)
Author: Jakubec, Stanislav
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 3
Issue: 1
Year: 1995
Pages: 37-(43)
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Category: math
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MSC: 11A07
MSC: 11D09
MSC: 11L10
MSC: 11N32
MSC: 11R11
MSC: 11R18
idZBL: Zbl 0876.11002
idMR: MR1474064
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Date available: 2009-01-30T09:02:02Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120492
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Reference: [1] Alderson H. P.: On the septimic character of 2 and 3.Proc. Camb. Phil. Soc. 74 (1973), 421-433. Zbl 0265.10003, MR 0323763
Reference: [2] Ankeny N. C.: Criterion for rth power residuacity.Pacific J. Math. 10 (1960), 1115-1124. Zbl 0113.26801, MR 0118708, 10.2140/pjm.1960.10.1115
Reference: [3] Jacobi C. G. J.: De residuis cubicis commentatio numerosa.J. für Reine und Angew. Math. 2 (1827), 66-69.
Reference: [4] Jakubec S.: Note on the Jacobi sum.Seminaire de theorie des nombres de Bordeaux to appear (1994).
Reference: [5] Lehmer E.: The quintic character of 2 and 3.Duke Math. J. 18 (1951), 11-18. Zbl 0045.02002, MR 0040338, 10.1215/S0012-7094-51-01802-9
Reference: [6] Leonard P. A., Williams K. S.: The septic character of 2, 3, 5 and 7.Pacific J. Math. 52 (1974), 143-147. MR 0364064
Reference: [7] Muskat J. B.: On the solvability of $x^c \equiv e (\bmod p).Pacific J. Math. 14 (1964), 257-260. Zbl 0117.27701, MR 0159781
Reference: [8] Parnami J. C., Agrawal M. K., Rajwade A.R.: Criterion for 2 to be l-th power.Acta Arith. 43 (1984), 361-364. MR 0756287
Reference: [9] Williams K. S.: Explicit criteria for quintic residuacity.Math. Comp. 30 (1974), 1-6. MR 0412089
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