Citation
Lasaraiya, Suriana and Sapar, Siti Hasana and Mohamat Johari, Mohamat Aidil
(2015)
Cardinality of sets associated to certain degree seven polynomials.
Malaysian Journal of Science, 34 (2).
pp. 214221.
ISSN 01267906
Abstract
Let f = f(x,y) be a function of two variables. Let q be an integer and let S(f;q) = ∑x mod qe 2πif(x)/q, where the sum is taken over a complete set of residue modulo q. The value of S(f;q) depends on the estimate of the cardinality V of the following set V={(x,y)mod q fx, fy ≡ 0 mod q} where fx and fy are the partial derivative of f with respect to x and y. In this paper, we discuss the cardinality, V of the set of solutions for congruence equations of some special binary forms. Firstly we need to obtain the padic sizes of common zeros of the partial derivative polynomials by using Newton polyhedron technique. The polynomial that we consider is in the form of f(x, y) = ax7 + bx6y + cx5y2 + sx + ty + k.
Download File
Official URL or Download Paper: http://ejournal.um.edu.my/publish/MJS/9251141

Additional Metadata
Item Type:  Article 

Divisions:  Faculty of Science Institute for Mathematical Research 
Publisher:  Faculty of Science, University of Malaya 
Keywords:  padic order; Newton polyhedron; Indicator diagram; Cardinality 
Depositing User:  Nabilah Mustapa 
Date Deposited:  04 May 2017 04:43 
Last Modified:  04 May 2017 04:43 
URI:  http://psasir.upm.edu.my/id/eprint/51969 
Statistic Details:  View Download Statistic 
Actions (login required)
View Item 