An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form
In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of partial derivative polynomial associated with a quartic polynomial. It is found that the p-adic sizes of a common zeros can be determined explicitly in terms of the p-adic orders of coefficients of d...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57289/1/An%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20quartic%20form.pdf |
| _version_ | 1796976661796749312 |
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| author | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan |
| author_facet | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan |
| author_sort | Yap, Hong Keat |
| collection | UPM |
| description | In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of partial derivative polynomial associated with a quartic polynomial. It is found that the p-adic sizes of a common zeros can be determined explicitly in terms of the p-adic orders of coefficients of dominant terms of polynomial. |
| first_indexed | 2024-03-06T09:28:56Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57289 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:28:56Z |
| publishDate | 2013 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-572892017-09-26T03:58:50Z http://psasir.upm.edu.my/id/eprint/57289/ An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan In this paper we apply Newton polyhedron technique in estimating the p-adic sizes of common zeros of partial derivative polynomial associated with a quartic polynomial. It is found that the p-adic sizes of a common zeros can be determined explicitly in terms of the p-adic orders of coefficients of dominant terms of polynomial. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57289/1/An%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20quartic%20form.pdf Yap, Hong Keat and Mohd Atan, Kamel Ariffin and Sapar, Siti Hasana and Md. Said, Mohamad Rushdan (2013) An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form. In: 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 Nov. 2013, Penang, Malaysia. (pp. 684-689). 10.1063/1.4887672 |
| spellingShingle | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title | An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title_full | An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title_fullStr | An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title_full_unstemmed | An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title_short | An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| title_sort | estimation of p adic sizes of common zeros of partial derivative polynomials associated with a quartic form |
| url | http://psasir.upm.edu.my/id/eprint/57289/1/An%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20quartic%20form.pdf |
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