Citation
Lasaraiya, Suriana and Sapar, Siti Hasana and Mohamat Johari, Mohamat Aidil
(2015)
On the cardinality of the set of solutions to congruence equation associated with polynomial of degree eleven.
In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-10).
Abstract
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated with f modulo a prime pα is defined as S(f;q)= ∑e2πif(x)/q. It has been shown that the estimation of S(f; pα)depends on the cardinality of the set of solutions to the congruence equation associated with the polynomial. In order to estimate the p-adic sizes of common zeros of partial derivative polynomials associated with certain class of polynomial of degree eleven, the Newton polyhedron technique will be used. Then, the indicator diagram is constructed and analyzed. Hence, the estimation of the cardinality of the set of the solutions is determined.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4954603 |
| Publisher: | AIP Publishing |
| Keywords: | Cardinality; Indicator diagram; Newton polyhedron; p-adic sizes |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 25 Oct 2017 01:35 |
| Last Modified: | 25 Oct 2017 01:35 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4954603 |
| URI: | http://psasir.upm.edu.my/id/eprint/57664 |
| Statistic Details: | View Download Statistic |
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