A theorem of Dickson on nonvanishing cubic forms in a finite field

Carlitz, L.

doi:10.1090/S0002-9939-1957-0089860-9

A theorem of Dickson on nonvanishing cubic forms in a finite field

Author: L. Carlitz
Journal: Proc. Amer. Math. Soc. 8 (1957), 975-977
MSC: Primary 10.0X
DOI: https://doi.org/10.1090/S0002-9939-1957-0089860-9
MathSciNet review: 0089860
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[1] Leonard Eugene Dickson, Definite forms in a finite field, Trans. Amer. Math. Soc. 10 (1909), no. 1, 109–122. MR 1500830, https://doi.org/10.1090/S0002-9947-1909-1500830-8
[2] L. E. Dickson, On triple algebras and ternary cubic forms, Bull. Amer. Math. Soc. 14 (1908), no. 4, 160–169. MR 1558578, https://doi.org/10.1090/S0002-9904-1908-01567-2
[3] A. Hurwitz, Über die Kongruenz $a{x^e} + b{y^e} + c{z^e} \equiv 0\;(\bmod p)$ , J. Reine Angew. Math. vol. 136 (1909) pp. 272-292 (=Mathematische Werke, vol. 2, Basel, 1933, pp. 430-445).