Small zeros of the Dedekind zeta function
by
Sami Omar
Université Bordeaux I France

Using Weil's explicit Formulas, 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) and give some estimations of the first zero's upper bound.

Date received: November 24, 1999