Add to ORKGThe p-adic models of statistical mechanics require an investigation of the roots of polynomial equations over p-adic fields in order to construct p-adic Gibbs measures. The most frequently asked question is whether a root of a polynomial equation belongs to some given domains. In this paper, we study the solvability of general cubic equations over Z(p)* where prime p > 3. Our investigation enables us to describe all translation invariant p-adic Gibbs measures on a Cayley tree of order three
We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
AbstractWe consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ...
The p-adic models of statistical mechanics require the investigation of roots of polynomial equation...
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,...
We provide a solvability criterion for a cubic equation in domains Z*3, Z3, and Q3
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
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 ...
Cette thèse est consacrée à l'étude du modèle de Potts p-adique à q états sur les arbres de Cayley. ...
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order thr...
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...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
AbstractWe consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ...
The p-adic models of statistical mechanics require the investigation of roots of polynomial equation...
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,...
We provide a solvability criterion for a cubic equation in domains Z*3, Z3, and Q3
The p-adic models of statistical mechanics require the investigation of the roots of polynomial equa...
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 ...
Cette thèse est consacrée à l'étude du modèle de Potts p-adique à q états sur les arbres de Cayley. ...
We study the set of p-adic Gibbs measures of the q-state Potts model on the Cayley tree of order thr...
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...
We give a criterion for the existence of solutions to an equation of the form x3 + ax = b, where a,...
We consider the p-adic Ising–Vannimenus model on the Cayley tree of order k = 2. This model contains...
Let p be a prime and f(x, y) be a polynomial in Zp[x, y]. For α > 1, the exponential sums associated...
AbstractWe consider a nearest-neighbor p-adic Potts (with q ≥ 2 spin values and coupling constant J ...