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

• 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 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/57289/1/An%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20quartic%20form.pdf; http://psasir.upm.edu.my/id/eprint/57289/

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 d...