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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...

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Main Authors: Yap .H.K,, Mohd Atan .K.A,, Sapar .S.H,
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2011
Online Access:http://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf
http://journalarticle.ukm.my/2617/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.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/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
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.
format Article
author Yap .H.K,
Mohd Atan .K.A,
Sapar .S.H,
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
author_facet Yap .H.K,
Mohd Atan .K.A,
Sapar .S.H,
author_sort Yap .H.K,
title 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_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_sort estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form
publisher Universiti Kebangsaan Malaysia
publishDate 2011
url http://journalarticle.ukm.my/2617/1/15_H.K_Yap.pdf
http://journalarticle.ukm.my/2617/
http://www.ukm.my/jsm/
_version_ 1643735439178203136
score 13.222552

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