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.
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)
|Keyword:||Congruence equations; n-tuple polynomials; cardinality; p-adic common zeros.|
|Faculty or Institute:||Faculty of Environmental Studies|
|Deposited By:||Nur Izyan Mohd Zaki|
|Deposited On:||16 Nov 2009 09:20|
|Last Modified:||25 May 2010 14:51|
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