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High-order Fuchsian equations for the square lattice Ising model: χ(6)

2010
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Journal of Physics A: Mathematical and Theoretical
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This paper deals with $\tilde{\chi}^{(6)}$, the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We have generated, modulo a prime, series coefficients for $\tilde{\chi}^{(6)}$. The length of the series is sufficient to produce the corresponding Fuchsian linear differential equation (modulo a prime). We obtain the Fuchsian linear differential equation that annihilates the "depleted" series $\Phi^{(6)}=\tilde{\chi}^{(6)} - {2 \over 3} \tilde{\chi}^{(4)}

doi:10.1088/1751-8113/43/11/115201
fatcat:3xha3siqgvcnrjvyo76mz4kdvy