COMPUTING THE MOMENT POLYNOMIALS OF THE ZETA FUNCTION.

We describe a method to accelerate the numerical computation of the coefficients of the polynomials Pk(x) that appear in the conjectured asymptotics of the 2k-th moment of the Riemann zeta function. We carried out our method to compute the moment polynomials for k ≤ 13, and used these to experimentally test conjectures for the moments up to height 108. [ABSTRACT FROM AUTHOR]