Cubic equations associated with p-adic potts models
The p-adic models of statistical mechanics require the investigation of roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is that whether a root of a polynomial equation belongs to some given domains. In this paper, we ar...
| Main Author: | |
|---|---|
| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2015
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/46249/ http://irep.iium.edu.my/46249/1/Cubic.pdf http://irep.iium.edu.my/46249/4/ID46249.pdf |
| _version_ | 1848782933304803328 |
|---|---|
| author | Saburov, Mansoor |
| author_facet | Saburov, Mansoor |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| description | The p-adic models of statistical mechanics require the investigation of roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is that whether a root of a polynomial equation belongs to some given domains. In this paper, we are aiming to study the solvability of general cubic equations over the set Z_p^{*} wherep>3. Our investigations enable to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three. |
| first_indexed | 2025-11-14T16:13:20Z |
| format | Proceeding Paper |
| id | iium-46249 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:13:20Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-462492016-05-24T02:46:43Z http://irep.iium.edu.my/46249/ Cubic equations associated with p-adic potts models Saburov, Mansoor QA Mathematics The p-adic models of statistical mechanics require the investigation of roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is that whether a root of a polynomial equation belongs to some given domains. In this paper, we are aiming to study the solvability of general cubic equations over the set Z_p^{*} wherep>3. Our investigations enable to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three. 2015 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/46249/1/Cubic.pdf application/pdf en http://irep.iium.edu.my/46249/4/ID46249.pdf Saburov, Mansoor (2015) Cubic equations associated with p-adic potts models. In: The 2nd International Conference on Mathematical Sciences and Computer Engineering, 5-6 Feb 2015, Langkawi, Kedah Darul Aman, Malaysia. http://www.icmsce.net/2015/WB/www.icmsce.net/cms/index.html |
| spellingShingle | QA Mathematics Saburov, Mansoor Cubic equations associated with p-adic potts models |
| title | Cubic equations associated with p-adic potts models |
| title_full | Cubic equations associated with p-adic potts models |
| title_fullStr | Cubic equations associated with p-adic potts models |
| title_full_unstemmed | Cubic equations associated with p-adic potts models |
| title_short | Cubic equations associated with p-adic potts models |
| title_sort | cubic equations associated with p-adic potts models |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/46249/ http://irep.iium.edu.my/46249/ http://irep.iium.edu.my/46249/1/Cubic.pdf http://irep.iium.edu.my/46249/4/ID46249.pdf |