Zeros of Dedekind zeta functions in the critical strip
Zeros of Dedekind zeta functions in the critical strip
In this paper, we describe a computation which established the GRH to height <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="92"> <mml:semantics> <mml:mn>92</mml:mn> <mml:annotation encoding="application/x-tex">92</mml:annotation> </mml:semantics> </mml:math> </inline-formula> (resp. <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="40"> <mml:semantics> <mml:mn>40</mml:mn> <mml:annotation encoding="application/x-tex">40</mml:annotation> </mml:semantics> </mml:math> </inline-formula>) for cubic number fields (resp. quartic number fields) with small discriminant. We …