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Estimation of p-adic sizes of common zeros of partial derivatives associated with a cubic form.


Citation

Yap, Hong Keat and Mohd Atan, Kamel Ariffin and Sapar, Siti Hasana (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 0026-6039

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: Universiti Kebangsaan Malaysia Publisher
Keywords: Indicator diagram; Newton polyhedron; Overlapping segment; P-adic sizes.
Depositing User: Nur Farahin Ramli
Date Deposited: 26 Aug 2013 04:05
Last Modified: 28 Oct 2015 03:30
URI: http://psasir.upm.edu.my/id/eprint/24874
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