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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English English English |
| Published: |
Springer Nature
2018
|
| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848786265687719936 |
|---|---|
| author | Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_facet | Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T17:06:18Z |
| format | Article |
| id | iium-64726 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T17:06:18Z |
| publishDate | 2018 |
| publisher | Springer Nature |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | Q Science (General) Saburov, Mansoor Ahmad, Mohd Ali Khameini Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title | 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_short | Local Descriptions of Roots of Cubic Equations over P-adic Fields |
| title_sort | local descriptions of roots of cubic equations over p-adic fields |
| topic | Q Science (General) |
| 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 |