Computing the moment polynomials of the zeta function

2011/12/09 by Rubinstein, Michael O., Yamagishi, Shuntaro
#11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1112.2201

Abstract

We describe a method to accelerate the numerical computation of the coefficients of the polynomials P_k(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.

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