Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function

Details Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function

2010-02-08

arxiv.org/abs/1002.1616v1

Mathematics

Number Theory

16 pages, 4 figures

Scientific paper

We show that if the derivative of the Riemann zeta function has sufficiently
many zeros close to the critical line, then the zeta function has many closely
spaced zeros. This gives a condition on the zeros of the derivative of the zeta
function which implies a lower bound of the class numbers of imaginary
quadratic fields.

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