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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155736 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712699162460160 |
|---|---|
| author | Balyas, L. Varbanets, P. |
| author_facet | Balyas, L. Varbanets, P. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T17:38:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155736 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:38:58Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Quadratic residues of the norm group in sectorial domains Balyas, L. Varbanets, P. |
| title | 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_short | Quadratic residues of the norm group in sectorial domains |
| title_sort | quadratic residues of the norm group in sectorial domains |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155736 |
| work_keys_str_mv | AT balyasl quadraticresiduesofthenormgroupinsectorialdomains AT varbanetsp quadraticresiduesofthenormgroupinsectorialdomains |