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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf |
| _version_ | 1796927631945367552 |
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| author | Yap .H.K, Mohd Atan .K.A, Sapar .S.H, |
| author_facet | Yap .H.K, Mohd Atan .K.A, Sapar .S.H, |
| author_sort | Yap .H.K, |
| collection | UKM |
| 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 | 2024-03-06T03:46:58Z |
| format | Article |
| id | ukm.eprints-2617 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T03:46:58Z |
| publishDate | 2011 |
| publisher | Universiti Kebangsaan Malaysia |
| record_format | dspace |
| spelling | ukm.eprints-26172016-12-14T06:32:09Z http://journalarticle.ukm.my/2617/ Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form Yap .H.K, Mohd Atan .K.A, Sapar .S.H, 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 2011-08 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf Yap .H.K, and Mohd Atan .K.A, and Sapar .S.H, (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 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Yap .H.K, Mohd Atan .K.A, Sapar .S.H, 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://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf |
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