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On the solutions of the equation X3 + AX = B in Z3* with coefficients from Q3

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Unduh - Bebas
Nguyễn Gia Hào

Academic year: 2023

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On the Solutions of the Equation x

3

+ Ax = B in Z

3*

with Coefficients from Q

3

I. M. Rikhsiboev

1

, A. Kh. Khudoyberdiyev

2

, T. K. Kurbanbaev

2

, K. K.

Masutova

2

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 : p-Adic Numbers; Solvability of Equation; Congruence

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