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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| Дата: | 2016 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/155 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-1552016-12-30T22:42:45Z Quadratic residues of the norm group in sectorial domains Balyas, Lyubov Varbanets, Pavel 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. Lugansk National Taras Shevchenko University 2016-12-31 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/155 Algebra and Discrete Mathematics; Vol 22, No 2 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/155/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/155/50 Copyright (c) 2016 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
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| spellingShingle |
Balyas, Lyubov Varbanets, Pavel Quadratic residues of the norm group in sectorial domains |
| topic_facet |
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| format |
Article |
| author |
Balyas, Lyubov Varbanets, Pavel |
| author_facet |
Balyas, Lyubov Varbanets, Pavel |
| author_sort |
Balyas, Lyubov |
| title |
Quadratic residues of the norm group in sectorial domains |
| title_short |
Quadratic residues of the norm group in sectorial domains |
| title_full |
Quadratic residues of the norm group in sectorial domains |
| title_fullStr |
Quadratic residues of the norm group in sectorial domains |
| title_full_unstemmed |
Quadratic residues of the norm group in sectorial domains |
| title_sort |
quadratic residues of the norm group in sectorial domains |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/155 |
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AT balyaslyubov quadraticresiduesofthenormgroupinsectorialdomains AT varbanetspavel quadraticresiduesofthenormgroupinsectorialdomains |
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2024-04-12T06:25:12Z |
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2024-04-12T06:25:12Z |
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1796109231022145536 |