Korean J. Math. Vol. 26 No. 3 (2018) pp.519-535
DOI: https://doi.org/10.11568/kjm.2018.26.3.519

The Gauss sums over Galois rings and its absolute values

Main Article Content

Young Ho Jang
Sang Pyo Jun

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.



Article Details

Supporting Agencies

Funding for this paper was provided by Namseoul University.

References

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