On a problem analogues to Lehmer’s and Hurwitz zeta-function
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摘要
The main purpose of this paper is to introduce a problem analogous to Lehmer’s and study a mean value of its error part with the weight of Hurwitz zeta-function by using the properties of character sums and the analytic method. A sharp asymptotic formula was given and a connection between the problem analogous to Lehmer’s and Hurwitz zeta-function was established.
论文关键词：Lehmer’s problem,Hurwitz zeta-function,Asymptotic formula
论文评审过程：Received 31 May 2015, Revised 23 June 2015, Accepted 26 June 2015, Available online 17 July 2015, Version of Record 17 July 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.06.117
