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: | Proceeding Paper |
| Language: | English |
| Published: |
IIUM Press
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf |
| _version_ | 1848779475223838720 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T15:18:22Z |
| format | Proceeding Paper |
| id | iium-25532 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:18:22Z |
| publishDate | 2012 |
| publisher | IIUM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 Proceeding Paper 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/ |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor The solvability criterion of cubic equations over p-adic field |
| title | 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_short | The solvability criterion of cubic equations over p-adic field |
| title_sort | solvability criterion of cubic equations over p-adic field |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/ http://irep.iium.edu.my/25532/1/mfms-ICMAE2012.pdf |