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A method of estimating the p-adic sizes polynomials

The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken over a complete set of residues modulo q. The value of S (f; q) depends on the estimate of cardinality in the set V = {x mod q|fx  0 mod q} where fx is the partial derivatives of f with respect to x. In...

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Main Authors: Sapar, Siti Hasana, Aminudin, Siti Syaheera, Mohd Atan, Kamel Ariffin
Format: Article
Language:English
Published: North Atlantic Univeristy Union 2014
Online Access:http://psasir.upm.edu.my/id/eprint/36181/1/A%20method%20of%20estimating%20the%20p.pdf
http://psasir.upm.edu.my/id/eprint/36181/
http://www.naun.org/cms.action?id=7635
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spelling my.upm.eprints.361812016-01-28T01:31:00Z http://psasir.upm.edu.my/id/eprint/36181/ A method of estimating the p-adic sizes polynomials Sapar, Siti Hasana Aminudin, Siti Syaheera Mohd Atan, Kamel Ariffin The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken over a complete set of residues modulo q. The value of S (f; q) depends on the estimate of cardinality in the set V = {x mod q|fx  0 mod q} where fx is the partial derivatives of f with respect to x. In order to determine the cardinality, the p-adic sizes of common zeros of the partial derivative polynomials need to be obtained. This paper will give an estimation of the p-adic sizes of common zeros of partial derivative polynomials of degree eight in p by using Newton polyhedron technique. North Atlantic Univeristy Union 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/36181/1/A%20method%20of%20estimating%20the%20p.pdf Sapar, Siti Hasana and Aminudin, Siti Syaheera and Mohd Atan, Kamel Ariffin (2014) A method of estimating the p-adic sizes polynomials. International Journal of Pure Mathematics, 1. pp. 22-29. ISSN 2313-0571 http://www.naun.org/cms.action?id=7635
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description The exponential sum associated with f is defined as S (f; q) = ∑x mod q , where the sum is taken over a complete set of residues modulo q. The value of S (f; q) depends on the estimate of cardinality in the set V = {x mod q|fx  0 mod q} where fx is the partial derivatives of f with respect to x. In order to determine the cardinality, the p-adic sizes of common zeros of the partial derivative polynomials need to be obtained. This paper will give an estimation of the p-adic sizes of common zeros of partial derivative polynomials of degree eight in p by using Newton polyhedron technique.
format Article
author Sapar, Siti Hasana
Aminudin, Siti Syaheera
Mohd Atan, Kamel Ariffin
spellingShingle Sapar, Siti Hasana
Aminudin, Siti Syaheera
Mohd Atan, Kamel Ariffin
A method of estimating the p-adic sizes polynomials
author_facet Sapar, Siti Hasana
Aminudin, Siti Syaheera
Mohd Atan, Kamel Ariffin
author_sort Sapar, Siti Hasana
title A method of estimating the p-adic sizes polynomials
title_short A method of estimating the p-adic sizes polynomials
title_full A method of estimating the p-adic sizes polynomials
title_fullStr A method of estimating the p-adic sizes polynomials
title_full_unstemmed A method of estimating the p-adic sizes polynomials
title_sort method of estimating the p-adic sizes polynomials
publisher North Atlantic Univeristy Union
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/36181/1/A%20method%20of%20estimating%20the%20p.pdf
http://psasir.upm.edu.my/id/eprint/36181/
http://www.naun.org/cms.action?id=7635
_version_ 1643831672559370240
score 13.250246

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