Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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THE GAUSS SUMS OVER GALOIS RINGS AND ITS ABSOLUTE VALUES

  • Received : 2018.05.07
  • Accepted : 2018.09.10
  • Published : 2018.09.30
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Abstract

Let ${\mathcal{R}}$ denote the Galois ring of characteristic $p^n$, where p is a prime. In this paper, we investigate the elementary properties of Gauss sums over ${\mathcal{R}}$ in accordance with conditions of characters of Galois rings, and we restate results for Gauss sums in [1, 2, 3, 7, 12, 13]. Also, we compute the modulus of the Gauss sums.

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References

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Cited by

  1. THE JACOBI SUMS OVER GALOIS RINGS AND ITS ABSOLUTE VALUES vol.57, pp.3, 2020, https://doi.org/10.4134/jkms.j190211