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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/943794 |
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| _version_ | 1832559813997887488 |
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| author | Tianping Zhang |
| author_facet | Tianping Zhang |
| author_sort | Tianping Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-21f46c0ff254469eb0a3422a3c678da8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-21f46c0ff254469eb0a3422a3c678da82025-02-03T01:29:07ZengWileyAbstract 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 |
| spellingShingle | Tianping Zhang High-Dimensional D. H. Lehmer Problem over Quarter Intervals Abstract and Applied Analysis |
| title | 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_short | High-Dimensional D. H. Lehmer Problem over Quarter Intervals |
| title_sort | high dimensional d h lehmer problem over quarter intervals |
| url | http://dx.doi.org/10.1155/2014/943794 |
| work_keys_str_mv | AT tianpingzhang highdimensionaldhlehmerproblemoverquarterintervals |