Understanding the relationship which integrable (solvable) models, all of which possess
very special symmetry properties, have with the generic non-integrable models that are used …

We show that the n-fold integrals χ (n) of the magnetic susceptibility of the Ising model, as
well as various other n-fold integrals of the'Ising class', or n-fold integrals from enumerative …

We show that the n-fold integrals $\chi^{(n)} $ of the magnetic susceptibility of the Ising
model, as well as various other n-fold integrals of the" Ising class", or n-fold integrals from …

We calculate very long low-and high-temperature series for the susceptibility χ of the square
lattice Ising model as well as very long series for the five-particle contribution χ (5) and six …

We consider the Fuchsian linear differential equation obtained (modulo a prime) for, the five-
particle contribution to the susceptibility of the square lattice Ising model. We show that one …

We recall various multiple integrals with one parameter, related to the isotropic square Ising
model, and corresponding, respectively, to the n-particle contributions of the magnetic …

We design an algorithm for computing the p-curvature of a differential system in positive
characteristic p. For a system of dimension r with coefficients of degree at most d, its …

We discuss theoretical and algorithmic questions related to the p-curvature of differential
operators in characteristic p. Given such an operator L, and denoting by Ξ (L) the …

We show that almost all the linear differential operators factors obtained in the analysis of
the n-particle contributions's of the susceptibility of the Ising model for n⩽ 6 are linear …

This paper deals with, the six-particle contribution to the magnetic susceptibility of the
square lattice Ising model. We have generated, modulo a prime, series coefficients for. The …