An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form
In this paper we obtain an estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic polynomial by applying the Newton polyhedron technique. Such estimates are obtained by examining indicator diagrams associated with the Newton polyhedra of parti...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing LLC
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57433/1/An%20explicit%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20complete%20quartic%20form.pdf |
| _version_ | 1825931611534786560 |
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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 obtain an estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic polynomial by applying the Newton polyhedron technique. Such estimates are obtained by examining indicator diagrams associated with the Newton polyhedra of partial derivatives polynomials considered and applying new conditions to improve the results of earlier researchers. |
| first_indexed | 2024-03-06T09:29:23Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57433 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:23Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| record_format | dspace |
| spelling | upm.eprints-574332017-09-27T10:19:14Z http://psasir.upm.edu.my/id/eprint/57433/ An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan In this paper we obtain an estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic polynomial by applying the Newton polyhedron technique. Such estimates are obtained by examining indicator diagrams associated with the Newton polyhedra of partial derivatives polynomials considered and applying new conditions to improve the results of earlier researchers. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57433/1/An%20explicit%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20complete%20quartic%20form.pdf Yap, Hong Keat and Mohd Atan, Kamel Ariffin and Sapar, Siti Hasana and Md. Said, Mohamad Rushdan (2014) An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form. In: 22nd National Symposium on Mathematical Sciences (SKSM22), 24-26 Nov. 2014, Grand Bluewave Hotel, Selangor. . 10.1063/1.4932486 |
| spellingShingle | Yap, Hong Keat Mohd Atan, Kamel Ariffin Sapar, Siti Hasana Md. Said, Mohamad Rushdan An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title | An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title_full | An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title_fullStr | An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title_full_unstemmed | An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title_short | An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| title_sort | explicit estimation of p adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form |
| url | http://psasir.upm.edu.my/id/eprint/57433/1/An%20explicit%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20complete%20quartic%20form.pdf |
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