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On a Generalized Cochrane Sum and Its Hybrid Mean Value Formula
Authors:Liu Hongyan  Zhang Wenpeng
Institution:(1) Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R. China;(2) Department of Mathematics, Xi’an University of Technology, Xi’an, Shaanxi, P.R. China;(3) Department of Mathematics, Northwest University, Xi’an, Shaanxi, P.R. China
Abstract:The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a generalized Cochrane sum, and give an interesting mean value formula.2000 Mathematics Subject Classification: Primary—11F20; Secondary—11F99
Keywords:generalized Cochrane sum  mean value formula  asymptotic property
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