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

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.

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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)

Item Type:Article
Keyword:Congruence equations; n-tuple polynomials; cardinality; p-adic common zeros.
Faculty or Institute:Faculty of Environmental Studies
ID Code:2529
Deposited By: Nur Izyan Mohd Zaki
Deposited On:16 Nov 2009 01:20
Last Modified:27 May 2013 07:01

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