AIMS Mathematics, 2020, 5(6): 5551-5563. doi: 10.3934/math.2020356.

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Mean value of the Hardy sums over short intervals

School of Mathematics, Northwest University, Xi’an 710127, Shaanxi, P. R. China

The main purpose of this paper is using the mean value of Dirichlet L-functions and character sums to study a kind of mean value of the Hardy sums over short intervals, and give some interesting formulae.
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Keywords Hardy sum; L-functions; short intervals; character sums; mean value

Citation: Lei Liu, Zhefeng Xu. Mean value of the Hardy sums over short intervals. AIMS Mathematics, 2020, 5(6): 5551-5563. doi: 10.3934/math.2020356

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