%0 Journal Article %T Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function %A David W. Farmer %A Haseo Ki %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1002.1616v1