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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 / Synopsis

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)


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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 09:20
Last Modified: 27 May 2013 15:01
URI: http://psasir.upm.edu.my/id/eprint/2529
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