Computing the moment polynomials of the zeta function

Details Computing the moment polynomials of the zeta function Computing the moment polynomials of the zeta function

2011-12-09

arxiv.org/abs/1112.2201v3

Mathematics

Number Theory

28 pages, 2 figues, 11 tables

Scientific paper

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 $k \leq 13$, and used these to
experimentally test conjectures for the moments up to height $10^8$.

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