Under RH and three zero-correlation conjectures, the third moment of the real part of log zeta(1/2+it) is shown to equal c_P + c_Z + O(1/log T), while the third moment of the imaginary part is O(1/log T).
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The third moment of the logarithm of zeta and a twisted pair correlation conjecture
Under RH and three zero-correlation conjectures, the third moment of the real part of log zeta(1/2+it) is shown to equal c_P + c_Z + O(1/log T), while the third moment of the imaginary part is O(1/log T).