Add to ORKGSolvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous works. For small primes p=2,3, this problem was open. In this paper, we study this problem in the case p=2. The case p=3 would be studied elsewhere in the future
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p−adic numb...
Essentially sharp bounds for small prime solutions pj, qi of the following two different types of eq...
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 ...
Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic ...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
We provide a solvability criterion for a cubic equation in domains . We show that, in principal, the...
We provide a solvability criterion for a cubic equation in domains Z3, Z3, and Q3
A Diophantine problem means to find all solutions of an equation or system of equations in integers,...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
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 the investigation of roots of polynomial equation...
Let a1,..., a9 be non-zero integers and n any integer. Suppose that a1 + ... + a9 = n (mod 2) and (a...
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p−adic numb...
Essentially sharp bounds for small prime solutions pj, qi of the following two different types of eq...
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 ...
Unlike real numbers, in general, the cubic equation is not necessary to have a solution over p-adic ...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
We provide a solvability criterion for a cubic equation in domains . We show that, in principal, the...
We provide a solvability criterion for a cubic equation in domains Z3, Z3, and Q3
A Diophantine problem means to find all solutions of an equation or system of equations in integers,...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
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 the investigation of roots of polynomial equation...
Let a1,..., a9 be non-zero integers and n any integer. Suppose that a1 + ... + a9 = n (mod 2) and (a...
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
Let K be any quadratic field with O-K its ring of integers. We study the solutions of cubic equation...
Unlike the real number field R, a bi-quadratic equation x4 + 1 = 0 is solvable over some p−adic numb...
Essentially sharp bounds for small prime solutions pj, qi of the following two different types of eq...