Localization of the first zero of the Dedekind zeta function-Reference-Cited by-同舟云学术

Localization of the first zero of the Dedekind zeta function

Published:2001-03-07 Issue:236 Volume:70 Page:1607-1616
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Omar Sami

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2001-70-236/S0025-5718-01-01305-9/S0025-5718-01-01305-9.pdf

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