Local Descriptions of Roots of Cubic Equations over P-adic Fields
One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this pap...
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Springer Nature
2018
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iium-647262019-01-24T06:47:35Z http://irep.iium.edu.my/64726/ Local Descriptions of Roots of Cubic Equations over P-adic Fields Saburov, Mansoor Ahmad, Mohd Ali Khameini Q Science (General) One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this paper, we give local descriptions of roots of cubic equations over the p-adic fields for p> 3. Springer Nature 2018-04-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/64726/1/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_article.pdf application/pdf en http://irep.iium.edu.my/64726/2/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_scopus.pdf application/pdf en http://irep.iium.edu.my/64726/13/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic%20Equations%20over%20P-adic%20Fields_WOS.pdf Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2018) Local Descriptions of Roots of Cubic Equations over P-adic Fields. Bulletin of the Malaysian Mathematical Sciences Society, 41 (2). pp. 965-984. ISSN 0126-6705 E-ISSN 2180-4206 https://link.springer.com/article/10.1007%2Fs40840-016-0401-8 10.1007/s40840-016-0401-8 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English English English |
| topic |
Q Science (General) |
| spellingShingle |
Q Science (General) Saburov, Mansoor Ahmad, Mohd Ali Khameini Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| description |
One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this paper, we give local descriptions of roots of cubic equations over the p-adic fields for p> 3. |
| format |
Article |
| author |
Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_facet |
Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_sort |
Saburov, Mansoor |
| title |
Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_short |
Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_full |
Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_fullStr |
Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_full_unstemmed |
Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_sort |
local descriptions of roots of cubic equations over p-adic fields |
| publisher |
Springer Nature |
| publishDate |
2018 |
| url |
http://irep.iium.edu.my/64726/ http://irep.iium.edu.my/64726/ http://irep.iium.edu.my/64726/ http://irep.iium.edu.my/64726/1/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_article.pdf http://irep.iium.edu.my/64726/2/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_scopus.pdf http://irep.iium.edu.my/64726/13/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic%20Equations%20over%20P-adic%20Fields_WOS.pdf |
| first_indexed |
2023-09-18T21:31:51Z |
| last_indexed |
2023-09-18T21:31:51Z |
| _version_ |
1777412563291602944 |