Cubic equations associated with p-adic potts models

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	6769/46249
Uncontrolled Keywords:	Cubic equations, p-adic potts models
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	22 Dec 2015 15:51
Last Modified:	24 May 2016 10:46
URI:	http://irep.iium.edu.my/id/eprint/46249

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