Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | North Atlantic Univeristy Union |
| Keywords: | Exponential sums; Cardinality; p-adic sizes; Newton polyhedron |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 09 Jun 2015 10:49 |
| Last Modified: | 28 Jan 2016 01:31 |
| URI: | http://psasir.upm.edu.my/id/eprint/36181 |
| Statistic Details: | View Download Statistic |
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