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

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

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...

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Main Author: Tianping Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/943794
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spelling doaj-21f46c0ff254469eb0a3422a3c678da82020-11-24T23:18:41ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/943794943794High-Dimensional D. H. Lehmer Problem over Quarter IntervalsTianping Zhang0College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710119, ChinaThe 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.http://dx.doi.org/10.1155/2014/943794
collection DOAJ
language English
format Article
sources DOAJ
author Tianping Zhang
spellingShingle Tianping Zhang
High-Dimensional D. H. Lehmer Problem over Quarter Intervals
Abstract and Applied Analysis
author_facet Tianping Zhang
author_sort Tianping Zhang
title High-Dimensional D. H. Lehmer Problem over Quarter Intervals
title_short High-Dimensional D. H. Lehmer Problem over Quarter Intervals
title_full High-Dimensional D. H. Lehmer Problem over Quarter Intervals
title_fullStr High-Dimensional D. H. Lehmer Problem over Quarter Intervals
title_full_unstemmed High-Dimensional D. H. Lehmer Problem over Quarter Intervals
title_sort high-dimensional d. h. lehmer problem over quarter intervals
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/943794
work_keys_str_mv AT tianpingzhang highdimensionaldhlehmerproblemoverquarterintervals
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