A new fourth power mean of two-term exponential sums

Chen Li, Wang Xiao

Type: Article

Publication Date: 2019-05-16

Citations: 13

DOI: https://doi.org/10.1515/math-2019-0034

Abstract

Abstract The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums mod p , with p an odd prime, and prove interesting new identities. As an application of our results, we also obtain a sharp asymptotic formula for the fourth power mean.

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Open Mathematics - View - PDF

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+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol
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+	Using Stepanov's method for exponential sums involving rational functions	2005	Todd Cochrane Christopher Pinner
+	On Some Exponential Sums	1948	André Weil
+ PDF Chat	On the Fourth Power Mean of the Two-Term Exponential Sums	2014	Han Zhang Wenpeng Zhang
+	On the fourth power mean of the general Kloosterman sums	2016	Wenpeng Zhang
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