A Note on the Distributions of (log <i>n</i>)mod 1
A Note on the Distributions of (log <i>n</i>)mod 1
Abstract For sequences sufficiently close to ( a log n ), with an arbitrary real constant a , this note describes the precise asymptotics of the associated empirical distributions modulo one, with respect to the Kantorovich metric as well as a discrepancy-style metric. In particular, the note demonstrates how these …