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

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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