Sur les entiers dont la somme des chiffres est moyenne Original Research Article

The goal of this paper is to study sets of integers with an average sum of digits. More precisely, let g be a fixed integer, s(n) be the sum of the digits of n in basis g. Let image such that, in any interval [gν,gν+1[, f(n) is constant and near from (g-1)ν/2. We give an asymptotic for the number of integers n