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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 / Synopsis

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 11:39
Last Modified: 27 May 2013 15:01
URI: http://psasir.upm.edu.my/id/eprint/2431
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