On a problem analogues to Lehmer’s and Hurwitz zeta-function

Qing Tian, Shujuan Cao and Chunxiao Yang

Applied Mathematics and Computation, 2015, vol. 268, issue C, 636-643

Abstract: 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.

Keywords: Lehmer’s problem; Hurwitz zeta-function; Asymptotic formula (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:636-643

DOI: 10.1016/j.amc.2015.06.117

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