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Solvability and number of roots of bi-quadratic equations over p-adic fields
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نویسنده
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saburov m. ,ahmad m.a.k.
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منبع
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malaysian journal of mathematical sciences - 2016 - دوره : 10 - شماره : S - صفحه:15 -35
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چکیده
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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,zp zp,qp,where p > 2. moreover,we also provide the number of roots of the bi-quadratic equation over the mentioned domains.
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کلیدواژه
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Bi-quadratic equation; P-adic number; Solvability criterion
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آدرس
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department of computational and theoretical sciences,kulliyyah of science,international islamic university malaysia, Malaysia, department of computational and theoretical sciences,kulliyyah of science,international islamic university malaysia, Malaysia
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Authors
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