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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English English |
| Published: |
Science Society Thailand
2017
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| Subjects: | |
| 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 |
| Summary: | 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. |
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