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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Science Society Thailand
2017
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| Online Access: | 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 |
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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 |
| 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 On the solvability of general cubic equations over Z(P)* |
| 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. |
| format |
Article |
| author |
Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_facet |
Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_sort |
Saburov, Mansoor |
| title |
On the solvability of general cubic equations over Z(P)* |
| title_short |
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_sort |
on the solvability of general cubic equations over z(p)* |
| publisher |
Science Society Thailand |
| publishDate |
2017 |
| 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 |
| first_indexed |
2023-09-18T21:23:01Z |
| last_indexed |
2023-09-18T21:23:01Z |
| _version_ |
1777412008107311104 |