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Pure Gauss sums over finite fields

  • Ronald J. Evans (a1)

New classes of pairs e, p are presented for which the Gauss sums corresponding to characters of order e over finite fields of characteristic p are pure, i.e., have a real power. Certain pure Gauss sums are explicitly evaluated.

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2. B. C. Berndt and R. J. Evans . “Sums of Gauss, Jacobi, and Jacobsthal”, J. Number Theory, 11 (1979), 349398.

4. R. E. Giudici , J. B. Muskat and S. F. Robinson . “On the evaluation of Brewer's character sums”, Trans. Amer. Math. Soc, 171 (1972), 317347.

6. D. S. Kubert and S. Lang . “Independence of modular units on Tate curves”, Math. Annalen, 240 (1979), 191201.

7. L. Stickelberger . “Über eine Verallgemeinerung der Kreistheilung”, Math. Annalen, 37 (1890), 321367.

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  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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