The Legendre’s Symbol Modulo p and Its Some Elementary Results
The main purpose of this article is using the elementary methods and the properties of the character sums to study the calculating problem of the number of the solutions for one kind congruence equation modulo p (an odd prime) and give some interesting identities and asymptotic formulas for it.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4101782 |
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| _version_ | 1832561316307402752 |
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| author | Jianghua Li Yuan Zhang |
| author_facet | Jianghua Li Yuan Zhang |
| author_sort | Jianghua Li |
| collection | DOAJ |
| description | The main purpose of this article is using the elementary methods and the properties of the character sums to study the calculating problem of the number of the solutions for one kind congruence equation modulo p (an odd prime) and give some interesting identities and asymptotic formulas for it. |
| format | Article |
| id | doaj-art-c45399e7fed544cd9789fc45dc4287f3 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c45399e7fed544cd9789fc45dc4287f32025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/41017824101782The Legendre’s Symbol Modulo p and Its Some Elementary ResultsJianghua Li0Yuan Zhang1College of Sciences, Xi’an University of Technology, Xi’an, Shaanxi, ChinaCollege of Sciences, Xi’an University of Technology, Xi’an, Shaanxi, ChinaThe main purpose of this article is using the elementary methods and the properties of the character sums to study the calculating problem of the number of the solutions for one kind congruence equation modulo p (an odd prime) and give some interesting identities and asymptotic formulas for it.http://dx.doi.org/10.1155/2021/4101782 |
| spellingShingle | Jianghua Li Yuan Zhang The Legendre’s Symbol Modulo p and Its Some Elementary Results Journal of Mathematics |
| title | The Legendre’s Symbol Modulo p and Its Some Elementary Results |
| title_full | The Legendre’s Symbol Modulo p and Its Some Elementary Results |
| title_fullStr | The Legendre’s Symbol Modulo p and Its Some Elementary Results |
| title_full_unstemmed | The Legendre’s Symbol Modulo p and Its Some Elementary Results |
| title_short | The Legendre’s Symbol Modulo p and Its Some Elementary Results |
| title_sort | legendre s symbol modulo p and its some elementary results |
| url | http://dx.doi.org/10.1155/2021/4101782 |
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