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math.NT2016
On the Polynomial Ramanujan Sums over Finite Fields
Zhiyong Zheng
The polynomial Ramanujan sum was first introduced by Carlitz [7], and a generalized version by Cohen [10]. In this paper, we study the arithmetical and analytic properties of these…
math.NT2016
Davenport-Hasse's Theorem for Polynomial Gauss Sums over Finite Fields
Zheng Zhiyong
In this paper, we study the polynomial Gauss sums over finite fields, and present an analogue of Davenport-Hasse's theorem for the entire polynomial Gauss sums, which is a generali…