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- W7941926 abstract "In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth ofmentioning that the bi-quadratic equation x^4 + 1 = 0 is not solvable in the real number field R. However,the same bi-quadratic equation x^4 + 1 = 0 is solvable some p-adic fields such as p = 17, 41, ... Therefore, it is of independent interest to provide a solvability criterion of a bi-quadratic equation over p-adic fields. In this paper, we shall provide a solvability criterion of bi-quadratic equations in terms of a,b." @default.
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- W7941926 date "2014-09-23" @default.
- W7941926 modified "2023-09-27" @default.
- W7941926 title "Biquadratic equations over p-adic fields" @default.
- W7941926 hasPublicationYear "2014" @default.
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