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- Title
Solvability and Number of Roots of Bi-Quadratic Equations over p-adic Fields.
- Authors
Saburov, M.; Ahmad, M. A. K.
- Abstract
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p-adic number fields Qp, say p = 17, 41, ⋯. Therefore, it is of independent interest to provide a solvability criterion for the bi-quadratic equation over p-adic number fields Qp. In this paper, we provide solvability criteria for the bi-quadratic equation x4 + ax² = b over domains Z*p, Zp \ Z*p, Qp \ Zp, Qp, where p > 2. Moreover, we also provide the number of roots of the bi-quadratic equation over the mentioned domains.
- Subjects
QUADRATIC equations; P-adic fields; P-adic numbers
- Publication
Malaysian Journal of Mathematical Sciences, 2016, Vol 10, p15
- ISSN
1823-8343
- Publication type
Article