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An estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a quartic form


Citation

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).

Abstract

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4887672
Publisher: AIP Publishing LLC
Keywords: Indicator diagram; Newton polyhedron; p-adic sizes
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 03:58
Last Modified: 26 Sep 2017 03:58
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4887672
URI: http://psasir.upm.edu.my/id/eprint/57289
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