All nonlinear cubic Euler sums in the eight families for degrees 4, 5, and 6 reduce to combinations of zeta functions and polylogarithms evaluated at 1/2, -1/2, and -1/8.
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Evaluation of eight different families of cubic Euler sums
All nonlinear cubic Euler sums in the eight families for degrees 4, 5, and 6 reduce to combinations of zeta functions and polylogarithms evaluated at 1/2, -1/2, and -1/8.