Add to ORKGThe p-adic models of statistical mechanics require the investigation of roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is that whether a root of a polynomial equation belongs to some given domains. In this paper, we are aiming to study the solvability of general cubic equations over the set Z_p^{*} wherep>3. Our investigations enable to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three
In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polyn...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
In the present paper, we study a phase transition problem for the q-state p-adic Potts model over th...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
One of the most frequently asked question in the p-adic lattice models of statistical mechanics is t...
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 the investigation of the roots of polynomial equa...
Cette thèse est consacrée à l'étude du modèle de Potts p-adique à q états sur les arbres de Cayley. ...
We provide a solvability criterion for a cubic equation in domains Z*3, Z3, and Q3
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order thr...
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-nei...
We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order t...
The set of solutions to congruence equations modulo a prime power associated with the polynomial f(x...
This thesis is devoted to the study of the q-state p-adic Potts model on Cayley trees. Specifically,...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polyn...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
In the present paper, we study a phase transition problem for the q-state p-adic Potts model over th...
The p-adic models of statistical mechanics require an investigation of the roots of polynomial equat...
One of the most frequently asked question in the p-adic lattice models of statistical mechanics is t...
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 the investigation of the roots of polynomial equa...
Cette thèse est consacrée à l'étude du modèle de Potts p-adique à q états sur les arbres de Cayley. ...
We provide a solvability criterion for a cubic equation in domains Z*3, Z3, and Q3
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order thr...
In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-nei...
We study a phase transition problem for the q-state p-adic Potts model on the Cayley tree of order t...
The set of solutions to congruence equations modulo a prime power associated with the polynomial f(x...
This thesis is devoted to the study of the q-state p-adic Potts model on Cayley trees. Specifically,...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
In this paper we determined the estimate of p-adic sizes of common zeros of partial derivative polyn...
Solvability criteria for cubic equations over the p-adic field, where p>3, were studied in previous ...
In the present paper, we study a phase transition problem for the q-state p-adic Potts model over th...