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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