On the transference principle and Nesterenko's linear independence criterion
On the transference principle and Nesterenko's linear independence criterion
We consider the problem of simultaneous approximation of real numbers $\theta_1, …,\theta_n$ by rationals and the dual problem of approximating zero by the values of the linear form $x_0+\theta_1x_1+…+\theta_nx_n$ at integer points. In this setting we analyse two transference inequalities obtained by Schmidt and Summerer. We present a rather simple …