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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...

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Main Authors: Yap, Hong Keat, Mohd Atan, Kamel Ariffin, Sapar, Siti Hasana, Md. Said, Mohamad Rushdan
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
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
http://psasir.upm.edu.my/id/eprint/57289/
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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Conference or Workshop Item
author Yap, Hong Keat
Mohd Atan, Kamel Ariffin
Sapar, Siti Hasana
Md. Said, Mohamad Rushdan
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
author_facet Yap, Hong Keat
Mohd Atan, Kamel Ariffin
Sapar, Siti Hasana
Md. Said, Mohamad Rushdan
author_sort Yap, Hong Keat
title 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_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_sort estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form
publisher AIP Publishing LLC
publishDate 2013
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
http://psasir.upm.edu.my/id/eprint/57289/
_version_ 1643836443098873856
score 13.160551

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