TITLE:
On the Solutions of the Equation x3 + Ax = B in Z3* with Coefficients from Q3
AUTHORS:
I. M. Rikhsiboev, A. Kh. Khudoyberdiyev, T. K. Kurbanbaev, K. K. Masutova
KEYWORDS:
p-Adic Numbers; Solvability of Equation; Congruence
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
January
2,
2014
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 .