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...
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IIUM Press
2012
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| Online Access: | http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf |
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iium-255322012-12-28T07:03:56Z http://irep.iium.edu.my/25532/ The solvability criterion of cubic equations over p-adic field Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics 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. IIUM Press 2012 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2012) The solvability criterion of cubic equations over p-adic field. In: Proceedings of International Conference on Mathematical Applications in Engineering (ICMAE'12), 3-5 July 2012, Kuala Lumpur. http://www.iium.edu.my/icmae/12/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor The solvability criterion of cubic equations over p-adic field |
| description |
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. |
| format |
Conference or Workshop Item |
| author |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort |
Mukhamedov, Farrukh |
| title |
The solvability criterion of cubic equations over p-adic field |
| title_short |
The solvability criterion of cubic equations over p-adic field |
| title_full |
The solvability criterion of cubic equations over p-adic field |
| title_fullStr |
The solvability criterion of cubic equations over p-adic field |
| title_full_unstemmed |
The solvability criterion of cubic equations over p-adic field |
| title_sort |
solvability criterion of cubic equations over p-adic field |
| publisher |
IIUM Press |
| publishDate |
2012 |
| url |
http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf |
| first_indexed |
2023-09-18T20:38:02Z |
| last_indexed |
2023-09-18T20:38:02Z |
| _version_ |
1777409177340084224 |