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Square lattice Ising model \tilde{\chi }^{(5)} ODE in exact arithmetic

2010
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Journal of Physics A: Mathematical and Theoretical
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We obtain in exact arithmetic the order 24 linear differential operator $L_{24}$ and right hand side $E^{(5)}$ of the inhomogeneous equation$L_{24}(\Phi^{(5)}) = E^{(5)}$, where $\Phi^{(5)} =\tilde{\chi}^{(5)}-\tilde{\chi}^{(3)}/2+\tilde{\chi}^{(1)}/120$ is a linear combination of $n$-particle contributions to the susceptibility of the square lattice Ising model. In Bostan, et al. (J. Phys. A: Math. Theor. {\bf 42}, 275209 (2009)) the operator $L_{24}$ (modulo a prime) was shown to factorize

doi:10.1088/1751-8113/43/19/195205
fatcat:bnqcl45qlzalzcgolkvsubltja