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On the location of Gauss sums


Author: Emma Lehmer
Journal: Math. Comp. 10 (1956), 194-202
MSC: Primary 10.2X
DOI: https://doi.org/10.1090/S0025-5718-1956-0086092-2
MathSciNet review: 0086092
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References [Enhancements On Off] (What's this?)

  • [1] G. B. Mathews, Theory of Numbers, Cambridge, 1892, p. 202-212.
  • [2] Ibid., p. 223-228.
  • [3] J. von Neumann & H. H. Goldstine, ``A numerical study of a conjecture by Kummer,'' MTAC, v. 7, 1953, p. 133-134. MR 0055784 (14:1126d)
  • [4] G. Beyer, ``Über eine Klasseneinteilung aller kubischen Restcharaktere,'' Abh. Math. Seminar, Univ. Hamburg, v. 19, 1954, p. 115-116. MR 0063394 (16:114c)
  • [5] H. Hasse, Vorlesungen über Zahlentheorie, Berlin, 1950, p. 457-466. MR 0034400 (11:580c)
  • [6] P. Bachmann, Die Lehre von der Kreistheilung und ihre Beziehungen zur Zahlentheorie, Teubner, Leipzig, 1872, p. 228-230.
  • [7] A. J. C. Cunningham, Quadratic Partitions, London, 1904.
  • [8] Edmund Landau, ``Über die Verteilung der Primideale in den Idealklassen eines algebraischen Zahlkörpers,'' Math. Annalen, v. 63, 1906-7, p. 204.
  • [9] Emma Lehmer, ``The quintic character of 2 and 3,'' Duke Math. J., v. 18, 1951, p. 11-18. MR 0040338 (12:677a)

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DOI: https://doi.org/10.1090/S0025-5718-1956-0086092-2
Article copyright: © Copyright 1956 American Mathematical Society

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