Localization of the first zero of the Dedekind zeta function

Omar, Sami

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

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Localization of the first zero of the Dedekind zeta function

Author: Sami Omar
Journal: Math. Comp. 70 (2001), 1607-1616
MSC (2000): Primary 11R42
Posted: March 7, 2001
MathSciNet review: 1836922
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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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