A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations

Citation

Mohd Atan, Kamel Ariffin (1988) A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations. Pertanika, 11 (1). pp. 125-131.

Abstract

The cardinality of the set of solutions to a system of congruence equations module a prime power is estimated by applying the Newton polyhedral method. Estimates to this value are obtained for an n-tuple of polynomials f = _ (f1, ... ,fn) in coordinates -f = (xl' ... ,xn) with coefficients in Zp. The discussion is 011 the estimates corresponding to the polynomials f that are linear in x and a specific pair of quadratics in Zp(x,y)

Download File

Preview

PDF
A_Method_for_Determining_the_Cardinality.pdf
Download (1MB)

Additional Metadata

Item Type:	Article
Divisions:	Faculty of Environmental Studies
Keywords:	Congruence equations; n-tuple polynomials; cardinality; p-adic common zeros.
Depositing User:	Nur Izyan Mohd Zaki
Date Deposited:	16 Nov 2009 01:20
Last Modified:	27 May 2013 07:01
URI:	http://psasir.upm.edu.my/id/eprint/2529
Statistic Details:	View Download Statistic

Actions (login required)

View Item