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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| Format: | Article |
| Language: | English English |
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1988
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| Online Access: | http://psasir.upm.edu.my/id/eprint/2529/ http://psasir.upm.edu.my/id/eprint/2529/1/A_Method_for_Determining_the_Cardinality.pdf |
| _version_ | 1848839272800452608 |
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| author | Mohd Atan, Kamel Ariffin |
| author_facet | Mohd Atan, Kamel Ariffin |
| author_sort | Mohd Atan, Kamel Ariffin |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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) |
| first_indexed | 2025-11-15T07:08:49Z |
| format | Article |
| id | upm-2529 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T07:08:49Z |
| publishDate | 1988 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Mohd Atan, Kamel Ariffin A Method for Determining the Cardinality of the Set of Solutions to Congruence Equations |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/2529/ http://psasir.upm.edu.my/id/eprint/2529/1/A_Method_for_Determining_the_Cardinality.pdf |