Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y]
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...
| Main Author: | |
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| Format: | Article |
| Language: | English English |
| Published: |
1986
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| Online Access: | http://psasir.upm.edu.my/id/eprint/2431/ http://psasir.upm.edu.my/id/eprint/2431/1/Newton_Polyhedra_and_p-Adic_Estimates_of_Zeros_of_Polynomials.pdf |
| _version_ | 1848839244972294144 |
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| author | Mohd Atan, Kamel Ariffin |
| author_facet | Mohd Atan, Kamel Ariffin |
| author_sort | Mohd Atan, Kamel Ariffin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T07:08:23Z |
| format | Article |
| id | upm-2431 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:08:23Z |
| publishDate | 1986 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-24312013-05-27T07:01:03Z http://psasir.upm.edu.my/id/eprint/2431/ Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y] Mohd Atan, Kamel Ariffin 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. 1986 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/2431/1/Newton_Polyhedra_and_p-Adic_Estimates_of_Zeros_of_Polynomials.pdf 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. English |
| spellingShingle | Mohd Atan, Kamel Ariffin Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials in np[x, y] |
| title | Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials
in np[x, y] |
| title_full | Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials
in np[x, y] |
| title_fullStr | Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials
in np[x, y] |
| title_full_unstemmed | Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials
in np[x, y] |
| title_short | Newton Polyhedra and p-Adic Estimates of Zeros of Polynomials
in np[x, y] |
| title_sort | newton polyhedra and p-adic estimates of zeros of polynomials
in np[x, y] |
| url | http://psasir.upm.edu.my/id/eprint/2431/ http://psasir.upm.edu.my/id/eprint/2431/1/Newton_Polyhedra_and_p-Adic_Estimates_of_Zeros_of_Polynomials.pdf |