Resumen de Une Remarque sur une Formule Sommatoire liée à la Somme des Chiffres
Etienne Fouvry
Let g = 2 be an integer, and let s(n) be the sum of the digits of n in basis g. Let f(n) be a complex valued function defined on positive integers, such that . We propose sufficient conditions on the function f to deduce the equality . Applications are given, for instance, on the equidistribution mod 1 of the sequence (s(n))a, where a is a positive real number.
