zeta(-3),integral[(2 (t^2)^(-(-3)/2) sin((π (-3) sqrt(t^2))/(2 t)))/(-1 + e^(2 π t)),{t,0,infty}]zeta(-3),integral[(2 (t^2)^(-(-3)/2) sin((π (-3) sqrt(t^2))/(2 t)))/(-1 + e^(2 π t)),{t,0,infty}]

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