A Mean Value Related to Primitive Roots and Golomb’s Conjectures
The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting asymptotic formula for it.
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| Main Authors: | , |
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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/10.1155/2014/908273 |
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| _version_ | 1832556477121822720 |
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| author | Weiqiong Wang Wenpeng Zhang |
| author_facet | Weiqiong Wang Wenpeng Zhang |
| author_sort | Weiqiong Wang |
| collection | DOAJ |
| description | The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting asymptotic formula for it. |
| format | Article |
| id | doaj-art-7dedc85e81d64975be0e131cf5095a95 |
| 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-7dedc85e81d64975be0e131cf5095a952025-02-03T05:45:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/908273908273A Mean Value Related to Primitive Roots and Golomb’s ConjecturesWeiqiong Wang0Wenpeng Zhang1Department of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaDepartment of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaThe main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study a mean value problem related to the primitive roots mod p and the different forms of Golomb’s conjectures and propose an interesting asymptotic formula for it.http://dx.doi.org/10.1155/2014/908273 |
| spellingShingle | Weiqiong Wang Wenpeng Zhang A Mean Value Related to Primitive Roots and Golomb’s Conjectures Abstract and Applied Analysis |
| title | A Mean Value Related to Primitive Roots and Golomb’s Conjectures |
| title_full | A Mean Value Related to Primitive Roots and Golomb’s Conjectures |
| title_fullStr | A Mean Value Related to Primitive Roots and Golomb’s Conjectures |
| title_full_unstemmed | A Mean Value Related to Primitive Roots and Golomb’s Conjectures |
| title_short | A Mean Value Related to Primitive Roots and Golomb’s Conjectures |
| title_sort | mean value related to primitive roots and golomb s conjectures |
| url | http://dx.doi.org/10.1155/2014/908273 |
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