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Note on the supplement to the law of cubic reciprocity


Author: Kenneth S. Williams
Journal: Proc. Amer. Math. Soc. 47 (1975), 333-334
DOI: https://doi.org/10.1090/S0002-9939-1975-0357293-4
MathSciNet review: 0357293
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Abstract | References | Additional Information

Abstract: A short proof is given of the supplement to the law of cubic reciprocity proved by Eisenstein in 1844.


References [Enhancements On Off] (What's this?)

  • [1] L. E. Dickson, Cyclotomy, higher congruences and Waring's problem, Amer. J. Math. 57 (1935), 391-424. MR 1507083
  • [2] G. Eisenstein, Nachtrag zum kubischer Reciprocitätssatze, J. Reine Angew. Math. 28 (1844), 28-35.
  • [3] K. Ireland and M. I. Rosen, Elements of number theory, Bogden and Quigley, Tarrytown-on-Hudson, New York, 1972. MR 0554185 (58:27701)
  • [4] J. B. Muskat, On the solvability of $ {x^e} \equiv e\pmod p$, Pacific J. Math. 14(1964), 257-260. MR 28 #2997. MR 0159781 (28:2997)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0357293-4
Keywords: Supplement to law of cubic reciprocity, cubic residue character, Eisenstein domain
Article copyright: © Copyright 1975 American Mathematical Society

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