
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 modp, 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.
11l05, asymptotic formula, elementary method, 11l07, two-term exponential sums, QA1-939, Estimates on exponential sums, fourth power mean, Gauss and Kloosterman sums; generalizations, Mathematics, identity
11l05, asymptotic formula, elementary method, 11l07, two-term exponential sums, QA1-939, Estimates on exponential sums, fourth power mean, Gauss and Kloosterman sums; generalizations, Mathematics, identity
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