On Polynomials in Primes, Ergodic Averages and Monothetic Groups

Jean-Louis Verger-Gaugry, Jaroslav Hancl, Radhakrishnan Nair

Let $G$ denote a compact monothetic group, and let $$\rho (x)={\alpha }_k{x}^k+\dots +{\alpha }_{1}x+{\alpha }_0,$$ where ${\alpha }_0,\dots ,{\alpha }_k$ are elements of $G$ one of which is a generator of $G$. Let…