... They notably emphasized the relevance of related Dirichlet L-functions and remark that much can be deduced about Chebychev's bias if one is willing to to believe that both the Riemann Hypothesis and a strong form of simplicity of the zeros holds for these L -functions. ... n 2007 the speaker reformulated the Riemann Hypothesis as statements about the eigenvalues of certain Hankel matrices, entries of which are defined via the Taylor series coefficients of the zeta function. ...