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Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam

It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality [V], the number of elements contained in the set V = {x mod pα/fx ≡ 0 mod pα} where fx is the partial derivatives of f with respect to x. The cardinality of V in turn depends on the p-adic sizes of c...

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Main Authors: Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2007
Online Access:http://psasir.upm.edu.my/id/eprint/28170/1/Penganggaran%20saiz%20p-adic%20pensifar%20sepunya%20terbitan%20separa%20polinomial%20berdarjah%20enam.pdf
http://psasir.upm.edu.my/id/eprint/28170/
http://www.ukm.my/jsm/english_journals/vol36num1_2007/vol36num1_07page77-82.html
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spelling my.upm.eprints.281702016-02-02T05:35:21Z http://psasir.upm.edu.my/id/eprint/28170/ Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam Sapar, Siti Hasana Mohd Atan, Kamel Ariffin It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality [V], the number of elements contained in the set V = {x mod pα/fx ≡ 0 mod pα} where fx is the partial derivatives of f with respect to x. The cardinality of V in turn depends on the p-adic sizes of common zeros of the partial derivatives fx. This paper presents a methods of determining the p-adic of the components of (ξη) a common root of partial derivative polynomials of f(x,y) in Zp[x,y] of degree six based on the p-adic Newton polyhedron technique associated with the polynomial. The degree six polynomial is of the form f(x,y) = ax6 + bx5y + cx4y2 + dx3y3 + ex2y4 + mxy5 + ny6 + sx + ty + k. The estimate obtained is in terms of the p-adic sizes of the coefficients of the dominant terms in f. Penerbit Universiti Kebangsaan Malaysia 2007 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/28170/1/Penganggaran%20saiz%20p-adic%20pensifar%20sepunya%20terbitan%20separa%20polinomial%20berdarjah%20enam.pdf Sapar, Siti Hasana and Mohd Atan, Kamel Ariffin (2007) Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam. Sains Malaysiana, 36 (1). pp. 77-82. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol36num1_2007/vol36num1_07page77-82.html
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 It is known that the value of the exponential sum S(f;pα) depends on the estimate of the cardinality [V], the number of elements contained in the set V = {x mod pα/fx ≡ 0 mod pα} where fx is the partial derivatives of f with respect to x. The cardinality of V in turn depends on the p-adic sizes of common zeros of the partial derivatives fx. This paper presents a methods of determining the p-adic of the components of (ξη) a common root of partial derivative polynomials of f(x,y) in Zp[x,y] of degree six based on the p-adic Newton polyhedron technique associated with the polynomial. The degree six polynomial is of the form f(x,y) = ax6 + bx5y + cx4y2 + dx3y3 + ex2y4 + mxy5 + ny6 + sx + ty + k. The estimate obtained is in terms of the p-adic sizes of the coefficients of the dominant terms in f.
format Article
author Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
spellingShingle Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
author_facet Sapar, Siti Hasana
Mohd Atan, Kamel Ariffin
author_sort Sapar, Siti Hasana
title Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
title_short Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
title_full Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
title_fullStr Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
title_full_unstemmed Penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
title_sort penganggaran saiz p-adic pensifar sepunya terbitan separa polinomial berdarjah enam
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2007
url http://psasir.upm.edu.my/id/eprint/28170/1/Penganggaran%20saiz%20p-adic%20pensifar%20sepunya%20terbitan%20separa%20polinomial%20berdarjah%20enam.pdf
http://psasir.upm.edu.my/id/eprint/28170/
http://www.ukm.my/jsm/english_journals/vol36num1_2007/vol36num1_07page77-82.html
_version_ 1643829387434393600
score 13.211869

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