ASYMPTOTIC DENSITIES IN NUMBER THEORY. PART I: A SURVEY
In this paper, we present a detailed study of the asymptotic and conditional asymptotic densities and give some applications. Some new existence criteria are established. We give some new results that prove and simplify those obtained by Diaconis [Weak and strong averages in probability and the theory of numbers, Ph.D. Dissertation, Harvard University, Cambridge, Mass., 1974].
first-digit problem, asymptotic density, some criteria.
