Abstract

In this paper, we use the analytic method and the properties of Gauss sums to study the hybrid mean value problem involving the classical Dedekind sums and exponential sums, and give several interesting identities and asymptotic formulae for it. Keywords: Dedekind sum; exponential sum; hybrid mean value; identity MR(2010) Subject Classification: 11L40; 11F20 / CLC number: O156.4 Document code: A Article ID: 1000-0917(2014)04-0527-07

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