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...
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| Online Access: | http://irep.iium.edu.my/46249/1/Cubic.pdf http://irep.iium.edu.my/46249/4/ID46249.pdf http://irep.iium.edu.my/46249/ http://www.icmsce.net/2015/WB/www.icmsce.net/cms/index.html |
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my.iium.irep.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 Conference or Workshop Item REM 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 |
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QA Mathematics Saburov, Mansoor Cubic equations associated with p-adic potts models |
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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. |
| format |
Conference or Workshop Item |
| author |
Saburov, Mansoor |
| author_facet |
Saburov, Mansoor |
| author_sort |
Saburov, Mansoor |
| title |
Cubic equations associated with p-adic potts models |
| title_short |
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_sort |
cubic equations associated with p-adic potts models |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/46249/1/Cubic.pdf http://irep.iium.edu.my/46249/4/ID46249.pdf http://irep.iium.edu.my/46249/ http://www.icmsce.net/2015/WB/www.icmsce.net/cms/index.html |
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