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.
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.
|Keyword:||p-adic estimates, zeros of polynomials, indicator diagrams.|
|Faculty or Institute:||Faculty of Environmental Studies|
|Deposited By:||Nur Izyan Mohd Zaki|
|Deposited On:||13 Nov 2009 03:39|
|Last Modified:||27 May 2013 07:01|
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