Applications of uniform distribution theory to the Riemann zeta-function

We give two applications of uniform distribution theory to the Riemann zeta-function. We show that the values of the argument of are uniformly distributed modulo , where P(n) denotes the values of a polynomial with real coefficients evaluated at the positive integers. Moreover, we study the distribution of arg modulo π, where γ_n is the nth ordinate of a zeta zero in the upper half-plane (in ascending order).