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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...

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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 2014
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
http://psasir.upm.edu.my/id/eprint/57433/
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spelling my.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
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 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.
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 explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete 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 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_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_sort explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form
publisher AIP Publishing LLC
publishDate 2014
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
http://psasir.upm.edu.my/id/eprint/57433/
_version_ 1643836486014992384
score 13.160551

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