The Gauss sums over Galois rings and its absolute values
Young Ho Jang, Sang Pyo Jun · Korean Journal of Mathematics · 2018
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.