Globally nilpotent differential operators and the square Ising model

@inproceedings{Bostan2009GloballyND,
  title={Globally nilpotent differential operators and the square Ising model},
  author={Alin Bostan and Salah Boukraa and Saoud Hassani and J. Maillard and J-A Weil and N Zenine},
  year={2009}
}
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 susceptibility, to the (lattice) form factors, to the two-point correlation functions and to their λ-extensions. The univariate analytic functions defined by these integrals are holonomic and even Gfunctions: they satisfy Fuchsian linear differential equations with polynomial coefficients and have some arithmetic… CONTINUE READING
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