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The solvability criterion of cubic equations over p-adic field

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.

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Abstract

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.

Item Type: Conference or Workshop Item (Full Paper)
Additional Information: 5537/25532 (ISBN: 9789834309053)
Uncontrolled Keywords: Cubic equation, solvability criterion, p-adic number
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Dr. Farrukh Mukhamedov
Date Deposited: 16 Aug 2012 08:22
Last Modified: 28 Dec 2012 15:03
URI: http://irep.iium.edu.my/id/eprint/25532

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