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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>

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>
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摘要 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 . 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 .
出处 《Applied Mathematics》 2014年第1期35-46,共12页 应用数学(英文)
关键词 p-Adic Numbers Solvability of Equation Congruence p-Adic Numbers Solvability of Equation Congruence
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