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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155736 |
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| Zitieren: | 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. |
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Balyas, L. Varbanets, P. 2019-06-17T11:32:51Z 2019-06-17T11:32:51Z 2016 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. https://nasplib.isofts.kiev.ua/handle/123456789/155736 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. The authors would like to thank the referee for useful remarks and suggestions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Quadratic residues of the norm group in sectorial domains Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quadratic residues of the norm group in sectorial domains |
| spellingShingle |
Quadratic residues of the norm group in sectorial domains Balyas, L. Varbanets, P. |
| 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 |
| author |
Balyas, L. Varbanets, P. |
| author_facet |
Balyas, L. Varbanets, P. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT balyasl quadraticresiduesofthenormgroupinsectorialdomains AT varbanetsp quadraticresiduesofthenormgroupinsectorialdomains |
| first_indexed |
2025-12-07T17:38:58Z |
| last_indexed |
2025-12-07T17:38:58Z |
| _version_ |
1850872052008878080 |