54 citations · 179 across the 7 of their papers we have counts for
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Globally nilpotent differential operators and the square Ising model
A. Bostan, S. Boukraa, S. Hassani +3
We recall various multiple integrals related to the isotropic square Ising model, and corresponding, respectively, to the n-particle contributions of the magnetic susceptibility, t…
Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
S. Boukraa, A. J. Guttmann, S. Hassani +4
We calculate very long low- and high-temperature series for the susceptibility of the square lattice Ising model as well as very long series for the five-particle contribution…
From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve
Salah Boukraa, Saoud Hassani, Jean-Marie Maillard +1
We recall the form factors corresponding to the -extension of the two-point diagonal correlation function of the Ising model on the square lattice a…
Singularities of -fold integrals of the Ising class and the theory of elliptic curves
S. Boukraa, S. Hassani, J. -M. Maillard +1
We introduce some multiple integrals that are expected to have the same singularities as the singularities of the -particle contributions to the susceptibility of the…
The diagonal Ising susceptibility
S. Boukraa, S. Hassani, J. -M. Maillard +2
We use the recently derived form factor expansions of the diagonal two-point correlation function of the square Ising model to study the susceptibility for a magnetic field applied…
Landau singularities and singularities of holonomic integrals of the Ising class
S. Boukraa, S. Hassani, J. -M. Maillard +1
We consider families of multiple and simple integrals of the ``Ising class'' and the linear ordinary differential equations with polynomial coefficients they are solutions of. We c…