Quadratic residues of the norm group in sectorial domains
In the article the distribution of quadratic residues in the ring Gpn, in the norm subgroup En of multiplicative group G∗pn, is investigated. The asymptotic formula for the number R(x,ϕ) of quadratic residues in the sectorial domain of a special form has been constructed.
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155736 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quadratic residues of the norm group in sectorial domains / L. Balyas, P. Varbanets // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 153-170. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-155736 |
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dspace |
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irk-123456789-1557362019-06-18T01:25:39Z Quadratic residues of the norm group in sectorial domains Balyas, L. Varbanets, P. In the article the distribution of quadratic residues in the ring Gpn, in the norm subgroup En of multiplicative group G∗pn, is investigated. The asymptotic formula for the number R(x,ϕ) of quadratic residues in the sectorial domain of a special form has been constructed. 2016 Article Quadratic residues of the norm group in sectorial domains / L. Balyas, P. Varbanets // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 153-170. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC:11L05, 11L07, 11N25, 11S40. http://dspace.nbuv.gov.ua/handle/123456789/155736 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In the article the distribution of quadratic residues in the ring Gpn, in the norm subgroup En of multiplicative group G∗pn, is investigated. The asymptotic formula for the number R(x,ϕ) of quadratic residues in the sectorial domain of a special form has been constructed. |
| format |
Article |
| author |
Balyas, L. Varbanets, P. |
| spellingShingle |
Balyas, L. Varbanets, P. Quadratic residues of the norm group in sectorial domains Algebra and Discrete Mathematics |
| author_facet |
Balyas, L. Varbanets, P. |
| author_sort |
Balyas, L. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155736 |
| citation_txt |
Quadratic residues of the norm group in sectorial domains / L. Balyas, P. Varbanets // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 2. — С. 153-170. — Бібліогр.: 11 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT balyasl quadraticresiduesofthenormgroupinsectorialdomains AT varbanetsp quadraticresiduesofthenormgroupinsectorialdomains |
| first_indexed |
2023-05-20T17:47:37Z |
| last_indexed |
2023-05-20T17:47:37Z |
| _version_ |
1796154098305728512 |