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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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2015
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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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| Summary: | 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. |
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