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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Note on the supplement to the law of cubic reciprocity
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by Kenneth S. Williams PDF
Proc. Amer. Math. Soc. 47 (1975), 333-334 Request permission

Abstract:

A short proof is given of the supplement to the law of cubic reciprocity proved by Eisenstein in 1844.
References
  • L. E. Dickson, Cyclotomy, Higher Congruences, and Waring’s Problem, Amer. J. Math. 57 (1935), no. 2, 391–424. MR 1507083, DOI 10.2307/2371217
    • G. Eisenstein, Nachtrag zum kubischer Reciprocitätssatze, J. Reine Angew. Math. 28 (1844), 28-35.
  • Kenneth Ireland and Michael I. Rosen, Elements of number theory. Including an introduction to equations over finite fields, Bogden & Quigley, Inc., Publishers, Tarrytown-on-Hudson, N.Y., 1972. MR 0554185
  • J. B. Muskat, On the solvability of $x^{e}\equiv e\,(\textrm {mod}\,p)$, Pacific J. Math. 14 (1964), 257–260. MR 159781
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 47 (1975), 333-334
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0357293-4
  • MathSciNet review: 0357293