Derivative[0, 4, 0][EllipticTheta][3, 0, q]/EllipticTheta[3, 0, q] - 3 (Derivative[0, 2, 0][EllipticTheta][3, 0, q]^2/ EllipticTheta[3, 0, q]^2) == ((32 Subscript[\[Omega], 1]^4)/Pi^4) (Subscript[e, 1] - Subscript[e, 2]) (Subscript[e, 2] - Subscript[e, 3]) /; {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] && Subscript[\[Omega], 2] == -Subscript[\[Omega], 1] - Subscript[\[Omega], 3] && q == Exp[Pi I (Subscript[\[Omega], 3]/Subscript[\[Omega], 1])] && Subscript[e, n] == WeierstrassP[Subscript[\[Omega], n], {Subscript[g, 2], Subscript[g, 3]}] && Element[n, {1, 2, 3}]

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2001-10-29