The solvability criterion of cubic equations over p-adic field
Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide a solvability criterion for a cubic equation in Z^* p. In principal, the Cardano method is not always applicable for such kind of equations. Moreover, th...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IIUM Press
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf |
| Summary: | Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide
a solvability criterion for a cubic equation in Z^*
p. In principal, the Cardano method is not always applicable for such kind of equations.
Moreover, the numbers of solutions of the cubic equation in domains Z^*_p; are provided. |
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