Local Descriptions of Roots of Cubic Equations over P-adic Fields

Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2018) Local Descriptions of Roots of Cubic Equations over P-adic Fields. Bulletin of the Malaysian Mathematical Sciences Society, 41 (2). pp. 965-984. ISSN 0126-6705 E-ISSN 2180-4206

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Abstract

One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this paper, we give local descriptions of roots of cubic equations over the p-adic fields for p> 3.

Item Type:	Article (Journal)
Additional Information:	6769/64726
Uncontrolled Keywords:	Cubic equation; Number of roots; p-adic field
Subjects:	Q Science > Q Science (General)
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	09 Jul 2018 20:13
Last Modified:	24 Jan 2019 14:47
URI:	http://irep.iium.edu.my/id/eprint/64726

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