Holomorphic motion, rational approximation and an equivalent formulation of the Riemann Hypothesis

P. M. Gauthier, Jujie Wu

A compact subset $K$ of the complex plane $\C$ is a set of polynomial (respectively rational) approximation if $P(K)=A(K)$ (respectively $R(K)=A(K)$), where $P(K)$ (respectively $R…