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arXiv · 1305.3087

Numerical Computations Concerning the GRH

David J. Platt
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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).

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David J. Platt. 2013-05-14. Numerical Computations Concerning the GRH. https://arxiv.org/abs/1305.3087

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