THERE IS NO KHINTCHINE THRESHOLD FOR METRIC PAIR CORRELATIONS
THERE IS NO KHINTCHINE THRESHOLD FOR METRIC PAIR CORRELATIONS
We consider sequences of the form mod 1, where and where is a strictly increasing sequence of positive integers. If the asymptotic distribution of the pair correlations of this sequence follows the Poissonian model for almost all in the sense of Lebesgue measure, we say that has the metric pair …