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Davenport–Hasse's theorem for polynomial Gauss sums over finite fields

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Abstract In this paper, we study the polynomial Gauss sums over finite fields, and present an analogue of Davenport–Hasse's theorem for the polynomial Gauss sums, which is a generalization of… Click to show full abstract

Abstract In this paper, we study the polynomial Gauss sums over finite fields, and present an analogue of Davenport–Hasse's theorem for the polynomial Gauss sums, which is a generalization of the previous result obtained by Hayes.

Keywords: sums finite; polynomial gauss; finite fields; gauss sums; davenport hasse

Journal Title: Journal of Number Theory
Year Published: 2017

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