Numerical Computations Concerning the GRH
Number Theory
2013-05-15 v1
Abstract
We describe two new algorithms for the efficient and rigorous computation of Dirichlet L-functions and their use to verify the Generalised Riemann Hypothesis for all such L-functions associated with primitive characters of modulus q<=400,000. For even q, we check to height t_0=max(1e8/q,7.5e7/q+200) and for odd q to height t_0=max(1e8/q,3.75e7/q+200).
Cite
@article{arxiv.1305.3087,
title = {Numerical Computations Concerning the GRH},
author = {David J. Platt},
journal= {arXiv preprint arXiv:1305.3087},
year = {2013}
}
Comments
15 pages