High‐Dimensional D. H. Lehmer Problem over Quarter Intervals

Tianping Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The high‐dimensional D. H. Lehmer problem over quarter intervals is studied. By using the properties of character sum and the estimates of Dirichlet L‐function, the previous result is improved to be the best possible in the case of q = p, an odd prime with p ≡ 1(mod 4), which is shown by studying the mean square value of the error term.

Date: 2014
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https://doi.org/10.1155/2014/943794

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:943794

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