Citation
Mohd Atan, Kamel Ariffin
(1986)
Newton Polyhedral Method of Determining padic Orders
of Zeros Common to Two Polynomials in Qp[x, y].
Pertanika, 9 (3).
pp. 375380.
Abstract
To obtain padic orders of zeros common to two polynomials in Q [x,y], the combination of
P .
Indicator diagrams assodated with both polynomials are examined. It is proved that the padic orders
of zeros common to both polynomials give the coordinates of certain intersection points of segments of
the Indicator diagrams assodated with both polynomials. We make a conjecture that if ( A, IJ. ) is a
point of intersection of noncoinddent segments in the combination of Indicator diagrams associated
with two polynomials in Q [ x,y l then there exists a zero (L Tl) common to both polynomials such
that ord ~. = A , ord Tl::: IJ. . A special case of this conjecture is proved.
Download File
Preview 

PDF
Newton_Polyhedral_Method_of_Determining_padic_Orders.pdf
Download (3MB)


Additional Metadata
Actions (login required)

View Item 