On the solvability of general cubic equations over Z(P)*
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is whether a root of a polynomial equation belongs to some given domains. In this paper, we stud...
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| Format: | Article |
| Language: | English English English |
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Science Society Thailand
2017
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| Online Access: | http://irep.iium.edu.my/58697/ http://irep.iium.edu.my/58697/1/58697_On%20the%20solvability%20of%20general%20cubic.pdf http://irep.iium.edu.my/58697/2/58697_On%20the%20solvability%20of%20general%20cubic_WOS.pdf http://irep.iium.edu.my/58697/13/58697_On%20the%20solvability%20of%20general%20cubic_SCOPUS.pdf |
| _version_ | 1848785161443868672 |
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| 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 | The p-adic models of statistical mechanics require an investigation of the roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is whether a root of a polynomial equation belongs to some given domains. In this paper, we study the solvability of general cubic equations over Z(p)* where prime p > 3. Our investigation enables us to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three. |
| first_indexed | 2025-11-14T16:48:44Z |
| format | Article |
| id | iium-58697 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English English |
| last_indexed | 2025-11-14T16:48:44Z |
| publishDate | 2017 |
| publisher | Science Society Thailand |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-586972017-10-09T04:23:03Z http://irep.iium.edu.my/58697/ On the solvability of general cubic equations over Z(P)* Saburov, Mansoor Ahmad, Mohd Ali Khameini Q Science (General) The p-adic models of statistical mechanics require an investigation of the roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is whether a root of a polynomial equation belongs to some given domains. In this paper, we study the solvability of general cubic equations over Z(p)* where prime p > 3. Our investigation enables us to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three. Science Society Thailand 2017 Article PeerReviewed application/pdf en http://irep.iium.edu.my/58697/1/58697_On%20the%20solvability%20of%20general%20cubic.pdf application/pdf en http://irep.iium.edu.my/58697/2/58697_On%20the%20solvability%20of%20general%20cubic_WOS.pdf application/pdf en http://irep.iium.edu.my/58697/13/58697_On%20the%20solvability%20of%20general%20cubic_SCOPUS.pdf Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2017) On the solvability of general cubic equations over Z(P)*. ScienceAsia, 43S. pp. 1-8. ISSN 1513-1874 http://www.scienceasia.org/2017.43S.n1/scias43S_1.pdf |
| spellingShingle | Q Science (General) Saburov, Mansoor Ahmad, Mohd Ali Khameini On the solvability of general cubic equations over Z(P)* |
| title | On the solvability of general cubic equations over Z(P)* |
| title_full | On the solvability of general cubic equations over Z(P)* |
| title_fullStr | On the solvability of general cubic equations over Z(P)* |
| title_full_unstemmed | On the solvability of general cubic equations over Z(P)* |
| title_short | On the solvability of general cubic equations over Z(P)* |
| title_sort | on the solvability of general cubic equations over z(p)* |
| topic | Q Science (General) |
| url | http://irep.iium.edu.my/58697/ http://irep.iium.edu.my/58697/ http://irep.iium.edu.my/58697/1/58697_On%20the%20solvability%20of%20general%20cubic.pdf http://irep.iium.edu.my/58697/2/58697_On%20the%20solvability%20of%20general%20cubic_WOS.pdf http://irep.iium.edu.my/58697/13/58697_On%20the%20solvability%20of%20general%20cubic_SCOPUS.pdf |