Quadratic residues of the norm group in sectorial domains
In the article the distribution of quadratic residues in the ring \(G_{p^n}\), in the norm subgroup \(E_n\) of multiplicative group \(G_{p^n}^{*}\), is investigated. The asymptotic formula for the number \(R(x,\phi)\) of quadratic residues in the sectorial domain of a special form has been construct...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2016
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/155 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | In the article the distribution of quadratic residues in the ring \(G_{p^n}\), in the norm subgroup \(E_n\) of multiplicative group \(G_{p^n}^{*}\), is investigated. The asymptotic formula for the number \(R(x,\phi)\) of quadratic residues in the sectorial domain of a special form has been constructed. |
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