Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y]

Citation

Mohd Atan, Kamel Ariffin (1986) Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y]. Pertanika, 9 (1). pp. 51-56.

Abstract

Newton polyhedron associated with a polynomial in n pix, is introduced. Existence of a relationship between a Newton polyhedron and zeros of its associated polynomial is proved. This relationship is used to arrive at the p-adic estimates of the zeros. An upper bound to the p-adic orders of these zeros is found using the Newton polyhedron method.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Environmental Studies
Keywords:	p-adic estimates, zeros of polynomials, indicator diagrams.
Depositing User:	Nur Izyan Mohd Zaki
Date Deposited:	13 Nov 2009 03:39
Last Modified:	27 May 2013 07:01
URI:	http://psasir.upm.edu.my/id/eprint/2431
Statistic Details:	View Download Statistic

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