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• W4247748048 endingPage "115201" @default.
• W4247748048 startingPage "115201" @default.
• W4247748048 abstract "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 $Phi^{(6)}=tilde{chi}^{(6)} - {2 over 3} tilde{chi}^{(4)} + {2 over 45} tilde{chi}^{(2)}$. The factorization of the corresponding differential operator is performed using a method of factorization modulo a prime introduced in a previous paper. The depleted differential operator is shown to have a structure similar to the corresponding operator for $tilde{chi}^{(5)}$. It splits into factors of smaller orders, with the left-most factor of order six being equivalent to the symmetric fifth power of the linear differential operator corresponding to the elliptic integral $E$. The right-most factor has a direct sum structure, and using series calculated modulo several primes, all the factors in the direct sum have been reconstructed in exact arithmetics." @default.
• W4247748048 created "2022-05-12" @default.
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• W4247748048 date "2010-02-26" @default.
• W4247748048 modified "2023-10-05" @default.
• W4247748048 title "High-order Fuchsian equations for the square lattice Ising model: χ⁽⁶⁾" @default.
• W4247748048 cites W1969552299 @default.
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• W4247748048 doi "https://doi.org/10.1088/1751-8113/43/11/115201" @default.
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