A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations
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...
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1988
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my.upm.eprints.25292013-05-27T07:01:43Z http://psasir.upm.edu.my/id/eprint/2529/ A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations Mohd Atan, Kamel Ariffin 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) 1988 Article NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/2529/1/A_Method_for_Determining_the_Cardinality.pdf 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. English |
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English English |
| description |
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) |
| format |
Article |
| author |
Mohd Atan, Kamel Ariffin |
| spellingShingle |
Mohd Atan, Kamel Ariffin A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations |
| author_facet |
Mohd Atan, Kamel Ariffin |
| author_sort |
Mohd Atan, Kamel Ariffin |
| title |
A Method for Determining the Cardinality
of the Set of Solutions to Congruence Equations |
| title_short |
A Method for Determining the Cardinality
of the Set of Solutions to Congruence Equations |
| title_full |
A Method for Determining the Cardinality
of the Set of Solutions to Congruence Equations |
| title_fullStr |
A Method for Determining the Cardinality
of the Set of Solutions to Congruence Equations |
| title_full_unstemmed |
A Method for Determining the Cardinality
of the Set of Solutions to Congruence Equations |
| title_sort |
method for determining the cardinality
of the set of solutions to congruence equations |
| publishDate |
1988 |
| url |
http://psasir.upm.edu.my/id/eprint/2529/1/A_Method_for_Determining_the_Cardinality.pdf http://psasir.upm.edu.my/id/eprint/2529/ |
| _version_ |
1643822345920446464 |
| score |
13.214268 |