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On the Solutions of the Equation <i>x</i><sup>3</sup> + <i>Ax</i> = <i>B</i> in <span style="font-family: Euclid Math Two">Z</span><sub>3</sub><sup style="margin-left:-6px;">*</sup> with Coefficients from <span style="font-family: Euclid Math Two">Q</span><sub>3</sub>
Universiti Kuala Lumpur, Malaysian Institute of Industrial Technology, Johor Bahru, Malaysia
Institute of Mathematics, Tashkent, Uzbekistan
Institute of Mathematics, Tashkent, Uzbekistan
Institute of Mathematics, Tashkent, Uzbekistan
- 1 Universiti Kuala Lumpur, Malaysian Institute of Industrial Technology, Johor Bahru, Malaysia
- 2 Institute of Mathematics, Tashkent, Uzbekistan
- 3 Institute of Mathematics, Tashkent, Uzbekistan
- 4 Institute of Mathematics, Tashkent, Uzbekistan
Applied Mathematics·Volume 05 (2013)·Pages 35–46·Published 25 December 2013·DOI10.4236/am.2014.51005
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Abstract
Recall that in [1] it is obtained the criteria solvability of the Equation in , and for P >3. Since any p -adic number x has a unique form , where and in [1] it is also shown that from the criteria in it follows the criteria in and . In this paper we provide the algorithm of finding the solutions of the Equation in with coefficients from .
Keywords<i>p</i>-Adic NumbersSolvability of EquationCongruence
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