An explicit estimation of p-adic sizes of common zeros of partial derivative polynomials associated with a complete 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 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/57433/1/An%20explicit%20estimation%20of%20p-adic%20sizes%20of%20common%20zeros%20of%20partial%20derivative%20polynomials%20associated%20with%20a%20complete%20quartic%20form.pdf; http://psasir.upm.edu.my/id/eprint/57433/

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 parti...