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

Citation

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. .

Abstract

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.

Download File

Preview

PDF (Abstract)
An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete quartic form.pdf
Download (35kB) | Preview

Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1063/1.4932486
Publisher:	AIP Publishing LLC
Keywords:	Indicator diagram; Newton polyhedron; P-sizes
Depositing User:	Nabilah Mustapa
Date Deposited:	27 Sep 2017 10:19
Last Modified:	27 Sep 2017 10:19
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4932486
URI:	http://psasir.upm.edu.my/id/eprint/57433
Statistic Details:	View Download Statistic

Actions (login required)

View Item