Add to ORKGUnlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic field. Therefore, in this paper, we provide a solvability criterion for a cubic equation in Z^* p. In principal, the Cardano method is not always applicable for such kind of equations. Moreover, the numbers of solutions of the cubic equation in domains Z^*_p; are provided
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth o...
We provide the number of solutions of a cubic equation in domains , 3 \ , 3\ 3 and Q3
Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic ...
We provide a solvability criterion for a cubic equation in domains . We show that, in principal, the...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
A Diophantine problem means to find all solutions of an equation or system of equations in integers,...
We provide a solvability criterion for a cubic equation in domains Z3, Z3, and Q3
We establish the solvability criteria for the equation xq=a in the field of p-adic numbers, for any ...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
The p-adic models of statistical mechanics require the investigation of roots of polynomial equation...
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p−adic numb...
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth o...
We provide the number of solutions of a cubic equation in domains , 3 \ , 3\ 3 and Q3
Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic ...
We provide a solvability criterion for a cubic equation in domains . We show that, in principal, the...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
A Diophantine problem means to find all solutions of an equation or system of equations in integers,...
We provide a solvability criterion for a cubic equation in domains Z3, Z3, and Q3
We establish the solvability criteria for the equation xq=a in the field of p-adic numbers, for any ...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
The p-adic models of statistical mechanics require the investigation of roots of polynomial equation...
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p−adic numb...
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth o...
We provide the number of solutions of a cubic equation in domains , 3 \ , 3\ 3 and Q3