New Mixed Exponential Sums and Their Application
The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting computational formula and a sharp upper bound estimate for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/510534 |
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| _version_ | 1850210785013268480 |
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| author | Yu Zhan Xiaoxue Li |
| author_facet | Yu Zhan Xiaoxue Li |
| author_sort | Yu Zhan |
| collection | DOAJ |
| description | The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting computational formula and a sharp upper bound estimate for these mixed exponential sums. As an application, we give a new asymptotic formula for the fourth power mean of Dirichlet L-functions with the weight of these mixed exponential sums. |
| format | Article |
| id | doaj-art-8da456f8c7b64500a5ea70bf41748d48 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8da456f8c7b64500a5ea70bf41748d482025-08-20T02:09:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/510534510534New Mixed Exponential Sums and Their ApplicationYu Zhan0Xiaoxue Li1Department of Science, Hetao College, Bayannur 015000, ChinaSchool of Mathematics, Northwest University, Xi'an, Shaanxi 710127, ChinaThe main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting computational formula and a sharp upper bound estimate for these mixed exponential sums. As an application, we give a new asymptotic formula for the fourth power mean of Dirichlet L-functions with the weight of these mixed exponential sums.http://dx.doi.org/10.1155/2014/510534 |
| spellingShingle | Yu Zhan Xiaoxue Li New Mixed Exponential Sums and Their Application Journal of Applied Mathematics |
| title | New Mixed Exponential Sums and Their Application |
| title_full | New Mixed Exponential Sums and Their Application |
| title_fullStr | New Mixed Exponential Sums and Their Application |
| title_full_unstemmed | New Mixed Exponential Sums and Their Application |
| title_short | New Mixed Exponential Sums and Their Application |
| title_sort | new mixed exponential sums and their application |
| url | http://dx.doi.org/10.1155/2014/510534 |
| work_keys_str_mv | AT yuzhan newmixedexponentialsumsandtheirapplication AT xiaoxueli newmixedexponentialsumsandtheirapplication |