On a Kind of Dirichlet Character Sums
Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/750964 |
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| _version_ | 1849403925623472128 |
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| author | Rong Ma Yulong Zhang Guohe Zhang |
| author_facet | Rong Ma Yulong Zhang Guohe Zhang |
| author_sort | Rong Ma |
| collection | DOAJ |
| description | Let p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate. |
| format | Article |
| id | doaj-art-97ca835849fc4d93b21f067fc4bddee4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-97ca835849fc4d93b21f067fc4bddee42025-08-20T03:37:08ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/750964750964On a Kind of Dirichlet Character SumsRong Ma0Yulong Zhang1Guohe Zhang2School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, ChinaThe School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, ChinaThe School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, ChinaLet p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate.http://dx.doi.org/10.1155/2013/750964 |
| spellingShingle | Rong Ma Yulong Zhang Guohe Zhang On a Kind of Dirichlet Character Sums Abstract and Applied Analysis |
| title | On a Kind of Dirichlet Character Sums |
| title_full | On a Kind of Dirichlet Character Sums |
| title_fullStr | On a Kind of Dirichlet Character Sums |
| title_full_unstemmed | On a Kind of Dirichlet Character Sums |
| title_short | On a Kind of Dirichlet Character Sums |
| title_sort | on a kind of dirichlet character sums |
| url | http://dx.doi.org/10.1155/2013/750964 |
| work_keys_str_mv | AT rongma onakindofdirichletcharactersums AT yulongzhang onakindofdirichletcharactersums AT guohezhang onakindofdirichletcharactersums |