On the solvability of general cubic equations over Z(P)*

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6769/58697
Uncontrolled Keywords:	solvability criterion, p-adic number
Subjects:	Q Science > Q Science (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science
Depositing User:	Dr Mansoor Saburov
Date Deposited:	09 Oct 2017 11:56
Last Modified:	09 Oct 2017 12:23
URI:	http://irep.iium.edu.my/id/eprint/58697

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