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REMARKS ON GAUSS SUMS OVER GALOIS RINGS
Kwon, Tae Ryong,Yoo, Won Sok The Kangwon-Kyungki Mathematical Society 2009 한국수학논문집 Vol.17 No.1
The Galois ring is a finite extension of the ring of integers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3].