Solvability of cubic equations in p-ADIC integers (p > 3)

被引：0
|
作者：
F. M. Mukhamedov
B. A. Omirov
M. Kh. Saburov
K. K. Masutova
机构：
[1] International Islamic University Malaysia,
[2] Institute of Mathematics at the National University of Uzbekistan,undefined
来源：
Siberian Mathematical Journal | 2013年 / 54卷
关键词：
cubic equation; -adic number; solution; algorithm;
D O I：
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学科分类号：
摘要：
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a, b ∈ ℚp, in p-adic integers for p > 3. Moreover, in the case when the equation x3 + ax = b is solvable, we give necessary and sufficient recurrent conditions on a p-adic number x ∈ ℤ*p under which x is a solution to the equation.
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页码：501 / 516
页数：15
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