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Transactions of the American Mathematical Society

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On certain character sums


Author: B. W. Brewer
Journal: Trans. Amer. Math. Soc. 99 (1961), 241-245
MSC: Primary 10.00
DOI: https://doi.org/10.1090/S0002-9947-1961-0120202-1
MathSciNet review: 0120202
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References [Enhancements On Off] (What's this?)

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  • [2] G. Eisenstein, Zur Theorie der quadratischen Zerfällung der Primzahlen $ 8n + 3,7n + 2$ und $ 7n + 4$, J. Reine Angew. Math. vol. 37 (1848) pp. 97-126.
  • [3] H. Hasse, Vorlesungen über Zahlentheorie, Berlin, Springer-Verlag, 1950. MR 0153659 (27:3621)
  • [4] E. Jacobsthal, Anwendungen einer Formel aus der Theorie der quadratischen Reste, Dissertation, University of Berlin, 1906.
  • [5] E. Lehmer, On the number of solutions of $ {u^k} + D \equiv {w^2}\;\pmod p$, Pacific J. Math. vol. 5 (1955) pp. 103-118. MR 0067918 (16:798b)
  • [6] L. von Schrutka, Eine Beweis für die Zerlegbarkeit der Primzahlen von der Form $ 6n + 1$ in ein einfaches und ein dreifaches Quadrat, J. Reine Angew. Math. vol. 140 (1911) pp. 252-265.
  • [7] A. L. Whiteman, Theorems analogous to Jacobsthal's theorem, Duke Math. J. vol. 16 (1949) pp. 619-626. MR 0031940 (11:230b)

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DOI: https://doi.org/10.1090/S0002-9947-1961-0120202-1
Article copyright: © Copyright 1961 American Mathematical Society

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