Landau-siegel Zeros and Zeros of the Derivative of the Riemann Zeta Function

@inproceedings{Farmer2010LandausiegelZA,
  title={Landau-siegel Zeros and Zeros of the Derivative of the Riemann Zeta Function},
  author={D. W. Farmer},
  year={2010}
}
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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