Localization of the first zero of the Dedekind zeta function

Omar, Sami

doi:10.1090/S0025-5718-01-01305-9

Localization of the first zero of the Dedekind zeta function
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by Sami Omar;

Math. Comp. 70 (2001), 1607-1616

DOI: https://doi.org/10.1090/S0025-5718-01-01305-9

Published electronically: March 7, 2001

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Abstract:

Using Weil’s explicit formula, we propose a method to compute low zeros of the Dedekind zeta function. As an application of this method, we compute the first zero of the Dedekind zeta function associated to totally complex fields of degree less than or equal to 30 having the smallest known discriminant.

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