Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form.
In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polynomials associated with a cubic form whose indicator diagrams have one overlapping segment by using Newton polyhedron technique. We showed that the p-adic sizes of such common zeros can be found explic...
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| Format: | Article |
| Language: | English English |
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Universiti Kebangsaan Malaysia Publisher
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/24874/ http://psasir.upm.edu.my/id/eprint/24874/1/Estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivatives%20associated%20with%20a%20cubic%20form..pdf |
| _version_ | 1848845154951102464 |
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| author | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana |
| author_facet | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana |
| author_sort | Yap, Hong Keat |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polynomials associated with a cubic form whose indicator diagrams have one overlapping segment by using Newton polyhedron technique. We showed that the p-adic sizes of such common zeros can be found explicitly on the overlapping segment of the indicator diagrams associated with the polynomials. |
| first_indexed | 2025-11-15T08:42:19Z |
| format | Article |
| id | upm-24874 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:42:19Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia Publisher |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-248742015-10-28T03:30:17Z http://psasir.upm.edu.my/id/eprint/24874/ Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polynomials associated with a cubic form whose indicator diagrams have one overlapping segment by using Newton polyhedron technique. We showed that the p-adic sizes of such common zeros can be found explicitly on the overlapping segment of the indicator diagrams associated with the polynomials. Universiti Kebangsaan Malaysia Publisher 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24874/1/Estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivatives%20associated%20with%20a%20cubic%20form..pdf Yap, Hong Keat and Mohd Atan, Kamel Ariffin and Sapar, Siti Hasana (2011) Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. Sains Malaysiana, 40 (8). pp. 921-926. ISSN 0026-6039 http://www.ukm.my/jsm/ English |
| spellingShingle | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title | Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title_full | Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title_fullStr | Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title_full_unstemmed | Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title_short | Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| title_sort | estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form. |
| url | http://psasir.upm.edu.my/id/eprint/24874/ http://psasir.upm.edu.my/id/eprint/24874/ http://psasir.upm.edu.my/id/eprint/24874/1/Estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivatives%20associated%20with%20a%20cubic%20form..pdf |